Pre – Post Assessment

1.Which of the following DOES NOT belong to the group?

a. Chance c. Possibilities
b. Interpretation d. Uncertainty

2. All the possible outcomes that can occur when a coin is tossed twice are listed in the box. What is the
probability of having a head?
HH TH
TT HT
a. ¼ c. 3/4
b. ½ d. 1

3. The local weather forecaster said there is a 20% chance of rain tomorrow. What is the
probability that it will not rain tomorrow?
a. 0.2 b. 0.8 c. 20 d. 80

4. A quiz contains three multiple choice-type questions and two true/false-type questions.
Suppose you guess the answer randomly on every question. The table below gives the
probability of each score.
Score 0 1 2 3 4 5
Probability 0.105 0.316 0.352 0.180 0.043 0.004

What is the probability of failing the quiz (getting 0, 1, 2, or 3 correct) by guessing?

a. 0.047 b. 0.575 c. 0.773 d. 0.953

5. A spinner with three equal divisions was spun 1000 times. The following information was
recorded. What is the probability of the spinner landing on RED?
Outcome Blue Red Yellow
Spins 448 267 285

a. 27% b. 29% c. 45% d. 73%

6. Suppose you toss two fair coins once, how many possible outcomes are there?
a. 1 b. 2 c. 4 d. 8

7. A number cube is rolled. What is the probability of rolling a number that is not 3?
a. 0/6 or 0 b. 1/6 c. 5/6 d. 6/6 or 1

8. In a 500-ticket draw for an educational prize, Ana’s name was written on 41 tickets. What is
the probability that she would win?
a. 0.082 b. 0.122 c. 0.41 d. 0.82

9. Which of the following is TRUE?

a. Answering a true/false-type question has one possible outcome.
b. Flipping a coin thrice has 3 possible outcomes.
c. The probability of getting a head when a coin is tossed can be expressed as 1/2 , 0.5
or 50%.
d. The probability of rolling 7 in a die is 1/7.
10. The weather forecaster has announced that Region 1 has rainy (R), partly cloudy (PR) and
cloudy (C) weather. If the chance of having R is twice as the probability of PR which is 27 what
is the correct table for probability?
a.
outcome R PR C
probability 1/7 4/7 2/7
b. outcome R PR C
probability 1/7 2/7 4/7
c.
outcome R PR C
probability 4/7 2/7 1/7

d. outcome R PR C
probability 4/7 1/7 2/7

11. A glass jar contains 40 red, green, blue and yellow marbles. The probability of drawing a
single green marble at random is 15. What does this mean?
a. There are 5 green marbles in the glass jar.
b. There are 8 green marbles in the glass jar.
c. There are more green marbles than the others.
d. There is only one green marble in the glass jar.

12. In a restaurant, you have a dinner choice of one main dish, one vegetable, and one drink.
The choices for main dish are pork and chicken meat. The vegetable choices are broccoli and
cabbage. The drink choices are juice and water. How many choices are possible?
a. 8 b. 10 c. 12 d. 14

13. Arlene Joy got coins from her pocket which accidentally rolled on the floor. If there were 8
probable outcomes, how many coins fell on the floor?
a. 3 b. 4 c. 8 d. 16

14. In a family of 3 children, what is the probability that the middle child is a boy?
a. 1/8 b. 1/4 c. 1/3 d. 1/2

15. Jun rolls two dice. The first die shows a 5. The second die rolls under his desk and he
cannot see it. NOW, what is the probability that both dice show 5?
a. 1/36 b. 1/6 c. 9/36 d. 1/3

16. Mrs. Castro asked her students to do an activity. Afterwards, her students noticed that the
experimental probability of tossing tails is 48%, while the mathematical/theoretical probability is
50%. Being an attentive student, how would you explain this to your classmates?
a. The experimental probability is wrong.
b. We should always rely on mathematical/theoretical probability.
c. It is normal for experimental probabilities to vary from the theoretical probabilities but
for a large number of trials, the two will be very close.
d. It is abnormal for the experimental probabilities to differ from the
mathematical/theoretical probabilities because the results must be the same.
17. You decided to order a pizza but you have to choose the type of crust and the toppings. If
there are only 6 possible combinations of ordering a pizza, from which of the following should
you choose from?
a. Crust: thin or deep dish
Topping: cheese or pepperoni
b. Crust: thin or deep dish
Topping: cheese, bacon or pepperoni
c. Crust: thin or deep dish
Topping: cheese, bacon, sausage or pepperoni
d. Crust: thin or deep dish
Topping: cheese, bacon, sausage, pepperoni or hotdog

18. There are four teams in a basketball tournament. Team A has 25% chance of winning.
Team B has the same chance as Team D which has 5% more than team A. Team C has half
the chance of winning as team B. Which of the following has the correct table of probabilities for
winning the tournament?

a. Team A B C D
Probability of 25% 30% 15% 30%
winning

b. Team A B C D
Probability of 25% 20% 20% 35%
winning
c.
Team A B C D
Probability of 25% 15% 15% 45%
winning

d. Team A B C D
Probability of 25% 15% 10% 50%
winning
19. You tossed a five-peso coin five times and you got heads each time. You tossed again and
still a head turned up. Do you think the coin is BIASED? Why?
a. I think the coin is biased because it favored the heads.
b. I think the coin is biased because it is expected to turn up tail for the next
experiments.
c. I think the coin is not biased because both faces of the coin have equal chances of
turning up.
d. I think the coin is not biased because the probability of turning heads up is 3/4 while
that of tails is only 1/4 .

20. Your best friend asked you to accompany him to a carnival to play games of chances.
According to him, his horoscope states that he is so lucky that day and he wants to try his luck
at the carnival. How will you convince him not to go to the carnival?
a. I will ask him to review very well his notes on probability so that he can apply them to
a real life situation like this.
b. I will tell him that what is written in the horoscope is sometimes true and sometimes
false so he would rather not go to the carnival.
 c. I will give him instances wherein he could see the real picture of having a very little
chance of winning so that he will not be wasting his money and time.
d. I will convince him not to go to the carnival this time because we have to finish first
our project in Probability. Anyway, there will be other time to go and enjoy all the
games there.

Answer Key
1. Answer: B All the words refer to Probability except Interpretation
2. Answer: C Three out of the 4 outcomes have three heads.
3. Answer: B 100% - 20% = 80% or 0.8
4. Answer: D 0.105 + 0.316 + 0.352 + 0.18 = 0.953 or 95.3%
5. Answer: A 267/1000 = 0.267 or 27%
6. Answer: C The 2 tosses of the coin are independent (the result of one does not
affect/depend on the other), thus there are 4 possible outcomes.
7. Answer: C 1 – 1/6 = 5/6
8. Answer: A 41/500 = 0.082 or 8.2%
9. Answer: C The probability of getting a head when a coin is tossed can be expressed as
1/2, 0.5 or 50%.
10. Answer: C PR = 2/7 where; 2PR = R
R = 227
2(PR) = 2 2/7
R = 4/7; 4/7 + 2/7 + 1/7 = 7/7 or 1
11. Answer: B
12. Answer: A
13. Answer: A, A coin has 2 possible outcomes (H, T) 2 x 2 x 2 = 8
14. Answer: D Sample Space = BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG P = 4/8 or ½
15. Answer: B Since we already know that one of the dice shows a 5, the probability of
getting a 5 in the other die is 1/6 .
16. Answer: C
17. Answer: B 2(crust) x 3 (toppings) = 6 possible combinations
18. Answer: A Team A = 25%, Team B = Team D + 25% +5%,
Team C = 100 – (25+30+30) = 15 Therefore, 25% + 30% + 15% + 30% = 100%
19. Answer: C
20. Answer: C