Proposed problems.

1. Carmen and Mario flip 3 and 4 coins, respectively. What is the probability that Mario
do you get exactly double the stamps that Carmen has?
A merchant wants to buy a batch of 25 pineapples, and decides to buy it only if the
select 3 randomly, none are defective. Assume that there are actually 4 pineapples.
failed (the merchant does not know it), what is the probability that he will not buy the lot?
Response: 0.4217
3. José, Bruno, and Mónica take turns tossing a coin. The first one to get heads wins.
game
a) What are the respective probabilities of winning the game if each one rolls only once?
P(José wins) = 1/2
1/4
P(Mónica wins) = 1/8
b) What are their respective chances of winning if, if necessary, the game
continues up to a maximum of two launches for each one?
P(José wins) = 9/16
9/32
P(Mónica wins) = 9/64
4. Suppose that, in Piura, the probability of a day being cloudy is 1/18 in summer and 5/54 in
any other station. What percentage of days in the year is expected to be cloudy?
5. Prize tickets are randomly drawn from a urn containing tickets numbered 1,
2, ..., n. Determine the probability that:
a) The highest winning number is elr.
b) The highest winning number is elry and the lowest is els.
First, solve both sections for n = 10; k = 5; r = 8; s = 2.
6. Suppose there are three traffic lights between Quique's house and UDEP. Upon reaching each of them,
These can be red (R) or green (V). It is considered that amber lasts a negligible amount of time.
Quique has verified that, at the first traffic light, the red lasts as long as the green; but at the
second, the red lasts twice as long as the green; and in the third, the green lasts twice as long as the red.
What is the probability that on the next trip to UDEP:
a) Do I have to stop for exactly one red light?
Response: 7/18
b) Do you have to stop at least for a red light?
Answer: 8/9
7. Four marbles A, B, C, D can be placed in five numbered jars from 1 to 5. For example,
A1, B2, C3, D1 means that A is in jar 1, B in jar 2, C in jar 3, and D in jar 1.
How many ways can the 4 marbles be placed in the 5 vases, if each can hold up to:
4 marbles?
625
b) 3 marbles?
620
5 cards are chosen from a complete deck of 52. The deck consists of four 'suits'.
(hearts, spades, clubs, and coconuts) and by thirteen denominations (1, 2, ..., 13). What is the
probability that:
a) All the cards are of the same suit?
Are there two '1's and three '13's?
c) Are there two cards of one denomination and three of another?
d) All the cards are of different denominations?
In the Statistics course, there are 5 students from the IV cycle, 34 from the V, 21 from the VI, 5 from the VII, and 2 from the VIII.
If a committee of 5 people were chosen, what is the probability that:
a) should all cycles be represented in the committee?
Response: 0.00369
b) should only the VI cycle have members in the committee?
Response: 0.0021
10. A family has 5 children. Assuming that the probability of a child being a boy or a girl is the
same, determine the probability that:
The 5 be of the same sex.
Response: 1/16
b) Four should be men.
Answer: 0.15625
11. Three cards are drawn from a deck. Determine the probability that:
The three should be of different shapes.
Response: 0.3976
At least two numbers are the same.
0.171764
12. A urn contains marbles numbered 1, 2, ..., n. If two marbles are chosen at random, what is the
probability that the two numbers are consecutive? Note: You can solve this problem by
Two ways: by dividing successful events by total events or applying some theorem.
13. Three coins are tossed, and if 2 heads and 1 tails are obtained, two marbles are drawn randomly.
from a urn that contains marbles numbered from 1 to 100. If the three coins show the same
result (three heads or three tails), two marbles are drawn from another urn that contains marbles
numbered from 1 to 50. What is the probability of drawing two marbles that show two
consecutive numbers?
Response: 7/400
14. A person chooses 10 numbers from a list of numbers from 1 to 80. Then, from a urn where there are
80 marbles numbered from 1 to 80, 20 marbles are drawn. What is the probability that in the
Should none of the 10 initially chosen numbers be extracted in the second extraction?
A box contains nine labels numbered consecutively from 1 to 9. If two are drawn from
These random labels, what is the probability that they sum to 8?
16. Two friends bought tickets to travel on a small bus. The bus consists of 48
seats, in rows of 4, with 24 seats on the left side and 24 on the right side. If the seats
were assigned randomly, determine the probability that the two friends,
They sit on the same side.
Response: 0.48936
They sit in the same row.
 Answer: 0.06383
They feel together (one next to the other or one behind the other).
Answer: 0.06028
17. There are 8 single friends and the probability that any of them will get married in the next 15.
The probability is 1/4. What is the probability that at least one will get married?

Answer: 0.8999
18. In how many ways can a task of 10 exercises be divided into two tasks of 5 exercises each?
a?
Response: in 252 ways
19. A person buys a LOTTO ticket every week. They always bet on the same 6.
numbers, selected from the integers 1 to 36. To win, the six selected numbers
they must match those that are randomly drawn from a ballot box. Determine:
a) The size of the sample space.
b) The probability of winning in a particular week.
c) The probability of winning in each of the next three weeks.
d) The probability of winning at least once during the next 52 weeks.
20. The company CRAG S.A. is sued for alleged patent infringement on the process of
manufacturing of a product. The company's advisor, who is an industrial engineer knowledgeable about
quantitative methods for decision making, has diagnosed this problem
using a decision tree. Within his analysis, he estimates that the probability of winning a
The trial is X, and the probability of losing is 1-X. If CRAG S.A. wins the trial, the plaintiffs
They can appeal or not, with probabilities of 0.90 and 0.10 respectively. If they lose the trial, estimate
that CRAG S.A. can appeal or not, with probabilities of 0.20 and 0.80 respectively. In addition,
It is estimated that the party winning the trial has a 0.75 probability of winning the corresponding appeal.
a) If the probability of winning the trial (X) is 0.40, what is the probability of winning the litigation?
0.34
b) If the probability of winning the lawsuit were 0.10, what would be the probability of winning then?
the trial (X)?
0.069
c) What is the maximum probability of winning the litigation?
Answer: 0.775
A Engineering student has estimated that in 4 hours they can study a topic for the exam.
the next day. He starts studying at 8 p.m. with the risk of there being a blackout.
any moment. What is the probability that, as a result of a 'blackout', what
Does he need to study less than a fifth of what he has studied? Assume that the blackout
It can happen at any moment due to problems with the generator.
1/6
22. Buyers of large volumes of goods use acceptance sampling to
rate the goods they purchase. The batches of goods are rejected or accepted with
based on the results obtained from inspecting a sample of the lot. Assume that an inspector
A food processing plant has accepted 97% of the batches that are of quality.
"good", and has incorrectly rejected 3% of batches that were of "good" quality. Additionally, it
You know that the inspector accepts 95% of all batches and that only 3% of the batches are of 'quality.
bad”. Find the probability that:
a lot is of 'good' quality and is also accepted.
 Response: 0.9409
b) a batch is of 'poor' quality and is accepted.
Answer: 0.0091
a batch of 'poor' quality is accepted.
Response: 0.3033
23. A person rolls a die whose six faces show: a '1', two '2's, and three '3's. If they get a '1'
In the first roll, you win the game. If you do not get '1', you can keep rolling the die and win.
If it repeats the result of the first throw. If you get '1' before repeating the result of the first
launch, lose the game. What is the probability of winning? Note: The following may be useful
formula: 1 + x + x2+x3+ ... = 1/(1–x), if 0 < x < 1.

Response: 0.76388.
24. A box contains 9 labels numbered consecutively from 1 to 9. If two of these are drawn
Random labels, what is the probability that they are consecutive or sum to eight?
Response: 11/36
25. In a known dice game (timba), the participating player rolls two dice. If they get a sum
seven, wins. If not, he must keep rolling until he gets the same result as the first roll.
before seven comes out. If seven comes out before achieving the same result as the first
launch, loses.
a) If the player gets a sum of four on the first roll. What probability do they have of
to win?
Response: 1/3
b) What is the probability that the player gets a sum of three on the first roll, and
then lose the game?
Answer: 1/24
26. A jar contains four marbles numbered from 1 to 4. If the marbles are drawn successively,
One by one, what is the probability that at least one of the extracted numbers matches
with the order of extraction of the marble? (For example, that the third marble has the number 3)
Answer: 15/24
27. In a Statistics exam, you only have to answer true (T) or false (F) for each one of
the five questions
a) How many ways can the exam be answered?
b) If you answered randomly, what would be the probability of answering all correctly?
c) If a student estimates that the probability of answering each question correctly is 2/3, what will be
What is the probability of answering at least four questions correctly?
28. Indicate whether it is an a priori, experimental, or subjective probability:
a) Probability of a tie between the two candidates for the presidency of a committee.
Response: Subjective.
b) Probability that a can of fish preserves contains some foreign object.
Response: Experimental.
c) Probability that the El Niño phenomenon will occur in three years.
Response: Subjective
d) Probability of encountering a red traffic light.
Answer: A priori.
29. In a box there are seven spheres, marked with the following letters: C, A, L, C, U, L, O. If
The seven spheres are extracted one by one and placed from left to right, what is the
probability of the word CALCULO being formed?
Response: 7.94 10–4
30. A salesperson estimates that the probability of selling to a customer on their first visit is 0.4, but
which increases to 0.55 on the second visit, if in the first one the sale was not made. Calculate the
probability that:
a) The seller sells to a customer
b) The customer does not buy
31. In a urn, there are placed white balls numbered 1, 2, ..., n; and red balls numbered 1, 2,
...n. If two spheres are then randomly drawn, what is the probability that:
Are they white and consecutive?
b) Are they white or consecutive?
c) Consecutive of different color?
32. In a urn there are six white marbles and six black ones. Nine of these are chosen randomly and
they are arranged in three rows. Determine the probability that:
a) there should be only one color in each row.
b) in each row there are two white marbles.
33. A game board is made up of 15 squares. In 11 of these are the letters of.
the word STATISTICS and the other 4 are blank. A player must choose,
unaware of what is in each box, box by box, until the word is formed.
STATISTICS, regardless of the order. For each blank box that is chosen, the player is
he takes away $20 from the $60 they are initially given. What is the probability that the player:
a) Win $60
Answer: 1/1365
b) Win $40
Response: 11/1365
Win $20
Response: 66/1365
I didn't win
Response: 286/1365
Lose $20
Response: 1001/1365
34. How many ways can a union choose from its 30 members a: a president, a
vice president, a secretary and three members?
from 71,253,000 ways
35. A coin is tossed with a probability of 2/3 of landing heads. If heads appears, it
extract a marble from a urn that contains two red and three green. If the result is a seal, it
extract a marble from another urn that contains two red and two green. What is the probability of
extract a red marble?
36. From a complete deck of 52 cards, a hand of 5 cards is drawn at random. What is the
probability of getting a straight? (5 consecutive numbers).
37. Suppose that in a region it has been determined that in a rainy year it rains approximately
50% of the days of the year and in a non-rainy year it rains approximately 25% of the days.
 year. A farmer wants to take the necessary precautions, and after the first week of
year, he realizes that it has rained for 2 days. What is the probability that it is a non-year?
Rainy? Suppose that 40% of the years are considered rainy.
Response: 0.7402
38. Five coins are tossed. Determine the probability that:
a) The number of faces exceeds the number of stamps by 2 or more.
b) The 5 results are the same.
39. Suppose that a random 4-digit number is written (repeated digits are allowed).
What is the probability that there are no repeated digits?
In a urn, there are 15 white marbles and six black ones. A marble is drawn and then another until this
black sea. Determine the probability that a fourth extraction will need to be made, if:
The marbles are drawn without replacement.
b) The marbles are drawn with replacement.
It is known that the verdict given by a jury is 90% reliable when the suspect is guilty.
and is 98% reliable when innocent. In other words, it declares 10% of the
guilty and declares 2% of the innocent guilty. The suspect is selected from a group.
of people, of which only 5% have committed a crime at some point. If the jury declares it
Guilty, what is the probability that that person is innocent?
Respuesta: 0,2969
42. A urn contains 3 white marbles and 5 black ones. If marbles are drawn at random, one by one, until
Let none remain, what is the probability that the last two marbles are black?
Answer: 0.357
43. Twelve students are about to sit in a single row, randomly. If two of them are siblings,
What is the probability that they do not sit together?
5/6
44. An association consists of 14 members. Six of the members are men and the other eight
members are women. They want to select a committee of three men and three women. From
how many ways can this committee be selected if:
a) are there no restrictions?
b) two of the men refuse to be together on the committee if the other is?
c) one of the men and one of the women refuse to be together in the committee if the other is there?
d) Ana will only participate in the committee if Juana also participates?
The committee must have a president and a secretary, and these two officers must be from the same.
sex?
45. How many ways can a futsal team be formed that must consist of four
novice players and two veterans, from a group of ten novices and five veterans, if
Can they all play in any position?
46. A player rolls a die and wins a game if they get a 5 or 6. If they roll several times in a row until ...
that I win twice.
a) What is the probability that I will need to make a minimum of 5 attempts?
b) What is the probability of winning at least two times in more than 4 attempts?
47. A food processing company is considering implementing a new line of
instant lunches. Current estimates indicate a high probability of success of 0.1,
a moderate probability of success of 0.4 and a probability of not succeeding of 0.5. The
the company conducts a regional test before implementing it at the national level and obtains
significant results, although not conclusive. The reliability of such a test is given by
the conditional probabilities of the following table:
The test indicated
Given that a product was
Gran éxito Éxito moderado Sin éxito
Very accepted 0.6 0.4 0
Moderately accepted 0.2 0.6 0.2
Not accepted 0,1 0.3 0.6

Build a tree diagram and calculate the conditional probabilities:

P(very accepted est indicates great success)
P(very accepted est indicates moderate success)
c) P(very accepted est indicates unsuccessfully)
d) P(median accepted est indicates great success); etc.
48. In an aptitude test consisting of 25 questions, 4 are general knowledge questions. If each student
20 questions are assigned at random, what is the probability that:
a) should no general knowledge questions be assigned?
Response: 3.95 10–4
b) they assign at least 2 questions of general culture?
Response: 0.98379
49. Three friends start a dice game called "I doubt it". Each one must roll 5 dice without
Let the others see your result (cover the dice with the cup or 'chunk'). If one of them...
touch the following result: 5, 1, 5, 5, 3; what is the probability that:
Are there a total of 3 fives?
b) Are there at least 4 fives in total?
50. There is a deck of 52 cards. If 5 cards are selected at random, what is the probability of
get the 2 of swords, the 2 of hearts, and the other three diamond cards?
1,1 10-4
A group of friends are playing 'millionaire' and one of them wants to get a sum of '4' when throwing.
the dice. One die has the options: 0, 0, 1, 2, 3, 4 and the other die: 0, 0, 1, 2, 2, 4. What is the
probability of obtaining the desired sum?
Answer: 7/37
52. A player has a normal die. What is the probability that:
a) Do I need to make 8 or more rolls to get a six?
Response: 0.2790
b) only get a six in 8 throws?
Response: 0.3721
c) just got a six on the eighth roll?
Answer: 0.0465
53. A person has two dice, one of which is normal and the other has two '2's, two '4's, and two
6. If the two dice are rolled, what is the probability that:
a) both results are even?
 b) one result is even and the other is odd?
c) both results are the same?
At UDEP, approximately 52% of the student body studies Engineering, and 21% Administration.
of Companies, 18% study Information and the remaining 9% study Education. In Engineering, the
82% are males, in Administration 48%, in Information 15% and in Education 5%. If
choose a person at random and it turns out to be a man.
a) What is the probability that I do not study Engineering?
b) What is the probability that I study Business Administration or Information?
55. In the city of Piura, newspapers A, B, and C are published. A survey indicates that 36% read A,
26% read B and 27% read C; 11% read A and B, 10% read A and C, 6% read B and C and 3% read A, B and C.
An adult person is chosen at random. Calculate the probability that:
read at least one newspaper.
read only one newspaper.
c) reads at least A and C, if it is known that they read at least one of the newspapers.

A small club made up of ten married couples is going to randomly choose two representatives.
What is the probability that:
a) let a marriage not be chosen.
b) be of the opposite sex?
c) are they women?
57. From 30 objects, we choose 5 at random, with replacement.
a) What is the probability that no object is chosen more than once?
Response: 0.70373
b) What is the probability that only one object repeats once?
Answer: 0.27066
A player has a regular die.
a) What is the probability that I will need to make 10 or more rolls to get a six?
Response: 0.1938
b) What is the probability of rolling a six on the tenth throw?
Response: 0.0323
c) What is the probability of getting only a six in 10 rolls?
Response: 0.323
In an exam consisting of 25 questions, 5 of them can be omitted.
a) How many selections of 20 questions can be made?
Response: 53 130
b) In how many of these will the 6 easiest questions be?
Response: 11,628
60. In a group of 20 problems, there are two very easy ones and one very difficult one. If a student is allowed to...
a job of 6 problems, what is the probability of getting the most difficult problem and one
of the two easiest?
61. Three dice are rolled. If two of the results are odd, what is the probability that the sum
Is the total sea less than seven?

Answer: 4/27
62. Suppose that you and two friends are participating in a game. Each of you rolls five dice and only
they can see their own game. If you have two '1's, what is the probability that at least there are
four '1' in total?
Response: 0.5155
63. A statistics student wants to measure the capacity of a meteorologist. The collected data
in the past they indicate the following:
The probability that the meteorologist predicts sun on sunny days is 0.80
The probability that the meteorologist predicts sun on cloudy days is 0.40
The probability of a sunny day is 0.90
Determine the probability that:
There will be sun if the meteorologist predicted it.
Response: 0.9474
The meteorologist forecasts that there will be sun.
Response: 0.76
64. A box contains spheres numbered 1, 2, ..., n. Three are randomly chosen. What is the probability?
that the three numbers are consecutive?
Response: 6/n(n–1)
65. Miguel rolls three dice and only says that no 2 and no 6 came up. What is the probability of
what:
a) is the sum of the three dice even?
b) Is the sum of the three dice greater than 12?
66. If a, b, c, c, d, d, e, f are distributed randomly. What is the probability that the two letters 'c'
Do they remain separated?

Respuesta: 0,75
67. Five soldiers will be selected from a group of twelve volunteers for a dangerous mission.
a) How many ways can they be selected?
Response: 792
b) How many times can the two bravest be included?
120
c) How many times will only one of the two bravest be included?
Response: 420
There is a deck of 52 cards.
a) How many 'hands' of 5 cards can be selected?
Response: 2,598,960
b) How many of these "hands" will have three identical numbers?
58,656
69. From a group of eight siblings, three are chosen at random. Luis is 18 years old, Jorge is 17 years old, Miguel
15 years, Raúl 12 years, Mario 10 years, Ana 9 years, Lucía 6 years, and David 5 years. Determine the
probability that:
Luis may be chosen.
Answer: 3/8
Ana and Lucía should be chosen
Answer: 3/28
 c) the sum of the ages of the three chosen ones is less than 28.
1/7
d) the youngest of the three is Raúl.
Response: 3/56
e) the oldest of the three is Raúl.
Answer: 3/28
the eldest of the three is Raúl, given that he was indeed elected.
2/7
g) the oldest of the three is Raúl, if David was not chosen.
Response: 3/35
h) the oldest of the three is Raúl and David is not chosen.
3/56
70. A committee of six people will be chosen by lottery from a group of ten men; three of
which are professionals. What is the probability that:
a) are there at least two professionals on the committee?
2/3
b) is there no professional on the committee?
Answer: 1/30
71. The probabilities that three students have of passing Statistics are: 0.20; 0.40; 0.50.
Determine the probability that:
Just pass one.
Response: 0.46
b) Just pass the second one.
Response: 0.16
c) If at least two are approved, the first one must be included.
Response: 0.4666
72. Suppose that from a group of 20 objects, 5 are chosen, replacing each one taken.
choosing before extracting the following. What is the probability that:
a) only one of the objects is repeated once?
b) no object is repeated?
c) only two objects are chosen?
A club is made up of 5 lawyers, 10 engineers, and 3 doctors.
a). How many ways can a committee consisting of 2 lawyers, 2 engineers, and 2...
doctors.
b). In how many of these committees will Engineer Peralta and Doctor Zapata be?
74. In a box there are 10 marbles numbered from 1 to 10.
a) In how many ways can 3 be painted red, 2 blue, and 5 green?
b) In how many of these ways will the 3 marbles painted red be consecutive?
c) How many ways can the 3 red marbles be consecutive and the 2 blue ones as well?
Approximately 2/5 of the people in Peru belong to blood group A. What is the
probability that, in a random sample of five people, at least three belong to the
group A?
76. In a school, 25% of the students are male. 25% of the males and 20% of the
women performed very well last year. If a student is chosen at random. What is
the probability that it performed very well the previous year?
77. A computer manufacturer has indicated that the monthly demand is between one and seven units.
If any level of demand (within the range of 1 to 7) is supposed to be equally likely,
determine the following probabilities:
that two computers are sold in a given month.
b) That less than four computers are sold in a given month.
c) That no more than five computers are sold in a given month.
d) That at least three computers are sold in a given month.
78. An investor has the option to invest in two out of four types of stock. The investor
ignore that, out of these four types, only two will substantially increase in value within the
next five years. If the investor randomly chooses the two types of shares, determine the space
corresponding sample. Also determine what simple events make up the following
compound events:
At least one of the profitable types of action was chosen.
At least one of the profitable types of action was not chosen.
79. A housewife is asked for her opinion on four brands of canned tuna (A, B, C, and D),
indicating the order of your preference, marking with 1 the one you prefer the most, with 2 the one you
continue, etc. Suppose that the lady actually has no preference for any brand, and
decide to randomly give the numbers from 1 to 4. What is the probability that:
a) should brand A be ranked as 1?
Answer: 1/4
b) Does C come in first place and D in second?
Answer: 1/12
c) Did I place in one of the top two positions?
Answer: 1/2
80. A company produces an energy-efficient bulb on three production lines. These bulbs are shipped in
large batches and, because quality inspection is destructive, most of the
Buyers sample a small number of bulbs from each lot. In general, the three lines of
production works at the same pace and the percentage of defective pieces, which is the same for all three,
It's only 2%. During the month of September, line 1 suffered a malfunction and was
producing with a 5% defective rate, which was known much later. A customer
He received a batch produced in September, from which he tested 3 light bulbs, and one turned out to be defective. Which one?
What is the probability that this batch came from production lines 2 or 3?
81. Suppose that at UDEP, 44% of the students study Engineering and 12% of them are
women. Additionally, 60% of the other programs are women. If a student is selected at random
And it turns out he is a man. What is the probability that he does not study Engineering?
Response: 0.3665
The Sports Committee of the Faculty of Engineering will be elected by draw among the 30 students.
who have attended a meeting called by the Director of Studies. Of these 30 students,
There are 20 men and 10 women. If the committee must consist of 6 students, what is the
probability that:
a) in the committee there are twice as many men as women?
b) are there no men in the committee?
A basketball factory imposes the following quality controls: a ball is rejected
if it bounces too much or too little, or if it has a defect in its leather. 12% of the balls that are
They produce, bounce too much or too little, and 50% of these have a defect in the leather. 10%
Of the produced balls, there are leather defects. What percentage of balls:
 a) will they be rejected by default in the rebound?
12%
b) will be rejected by default in leather?
Answer: 10%
c) will be rejected for both types of defect?
Response: 6%
Will they be rejected?
Answer: 16%
A fish meal factory classifies its production according to quality: A, B, and C. On average,
20% is quality A, 30% is quality B, and 50% is quality C. Suppose it processes two.
types of fish: 60% of the flour production comes from fish P1 and 40% from fish
P2, with the characteristic that it does not mix them during the process. It is also assumed that 40%
A quality flour comes from fish P1 and 40% of B quality flour comes from
of fish P2. Determine the probability that:
A bag of quality C flour comes from fish P1.
b) A bag of flour from fish P1 is of quality C.
85. An employee of a factory always inspects 10 units randomly extracted from the
daily production. Suppose that in one day 50 units were produced, 5 of which were
defective. If the production manager were to arrive at the employee's position just when they are lacking
inspect 2 units, what is the probability that:
are the 2 units defective?
Response: 0.008163
b) both units are defective, if none had been defective before?
Answer: 0.0116
86. Three identical boxes contain dice as follows: the first contains a normal die and
two abnormal ones, the second contains two normal dice and one abnormal one, and the third contains three.
abnormal dice. A normal die shows 1, 2, 3, 4, 5, and 6 on its faces, while an abnormal die
an abnormal die shows 2, 2, 4, 4, 6, 6 on its faces.

a) A die is drawn randomly from one of the boxes and rolled twice. What is the
probability that both dice show an even result?
A die is randomly drawn from one of the boxes and thrown twice, obtaining
in the two rolls. What is the probability that the chosen die is the abnormal one?
It is estimated that 35% of the parked cars in Piura do not have theft alarms. In addition,
the probability that one of these cars will be stolen is 0.10; however, this probability is
0.005 in cars with alarms. If a car has been stolen, what is the probability that it does not have one?
alarm?
88. There is a urn with 6 white marbles and four black marbles. A die is rolled and,
Next, as many marbles are drawn from the urn as indicated by the result of the dice.
Assuming they got exactly 3 white marbles, what is the probability that the
was the result of the die 5?
89. A burger place offers its customers five types of ingredients: lettuce, tomato, fries,
tomato sauce and mayonnaise. How many types of hamburgers can be prepared? Consider that
Is it possible to have a type of burger without ingredients, or with one or more ingredients.