Review
Question No. 1
You roll a single die numbered from 1 to 6. What is
the probability of rolling an odd number, expressed
as a fraction?
Answer: or
Question No. 2
In a class there are 27 boys and 14 girls. The
teacher wants to select 1 boy and 1 girl to represent
a competition. In how many ways can the teacher
make this selection?
Answer: 41
Question No. 3
The numbers 4 through 14 are placed in a bowl and
drawn at random then replaced after being drawn.
What is the probability that you will draw a
number less than 7?
Answer:
Question No. 4
Given 7 flags of different colors, how many
different signals can be generated if a signal
requires the use of two flags, one below the other?
Answer: 42
Question No. 5
A jar contains 12 caramels, 7 mints and 16 dark
chocolates. What is the probability of selecting a
mint expressed as a fraction?
Answer: or
Question No. 6
A person wants to buy one fountain pen, one ball pen and
one pencil from a stationery shop. If there are 10 fountain
pen varieties, 12 ball pen varieties and 5 pencil varieties,
in how many ways can he select these articles?
Answer: 27
Question No. 7
In a deck of 52 playing cards, what is the
probability of drawing a spade?
Answer:
Question No. 8
Twelve students compete in a race. In how many
ways first three prizes be given?
Answer: 1320
Question No. 9
In a deck of 52 playing cards, what is the
probability that you will draw a heart or a
diamond?
Answer:
Question No. 10
From among the 36 teachers in a college, one
principal, one vice-principal and the teacher-in
charge are to be appointed. In how many ways this
can be done?
Answer: 42,840
Question No. 11
There are 29 students available to represent the
upperclassmen at a fair. 13 are juniors and 16 are
seniors. What is the probability that a senior and
junior will be chosen?
Answer:
Question No. 12
There are 6 multiple choice questions in an
examination. How many sequences of answers are
possible, if the first three questions have 4 choices
each and the next three have 2 each?
Answer: 512
Question No. 13
In a deck of 52 playing cards what is the probability
of drawing a picture card (A,K,Q,J) replacing it and
then drawing either a heart or a diamond?
Answer:
Question No. 14
How many ways are there to write a 3-digit
positive integer using the digits 1, 3, 5, 7, and 9 if
no digit is used more than once?
Answer: 60
Question No. 15
There are 12 men on the basketball team. 2 are centers, 5
are guards, the rest a forwards. What is the probability
that out of two players chosen at random they would be a
guard and a forward?
Answer:
Question No. 16
A single die is rolled. How many ways can you roll
a number less than 3, then an even, and then an
odd?
Answer: 2, 3, 3
Question No. 17
You have a jar of marbles in front of you with the
following colors: 7 - red, 12 - blue, 6 - yellow and 9 -
white. What are the chance of selecting marble that is not
blue, replacing it and then one that is blue?
Answer: ,
Question No. 18
In how many different ways can a 10-question
true-false test be answered if every question must
be answered?
Answer: 1024
Question No. 19
You roll a die and then flip a coin. What is the
probability of getting an even number on the die
and then a head on the coin?
Answer:
Question No. 20
How many 4 digit odd numbers can be formed if
no digit can be repeated?
Answer: 2240
Question No. 21
What is the theoretical probability that an even
number will be rolled on a number cube?
Answer:
Question No. 22
How many times would you expect to roll the
number one?
Answer:
Question No. 23
What is the theoretical probability for rolling a
number greater than 4?
Answer:
Question No. 24
What is the experimental probability for rolling a
number greater than 4?
Answer:
Question No. 25
A coin is tossed 10 times. Head appears 7 times
and tails appears 3 times. What is the experimental
probability of getting heads? Tails?
Answer:
