(4 points) Find the number of possible outcomes in the sample space. Then list the possible
outcomes.
1. You roll a six-sided number cube and toss a coin.
1H
2H
3H
4H
5H
6H
1T
2T
3T
4T
5T
6T
(4 points each) Refer to the spinner shown. The spinner is divided into sections with the same
area.
2. What is the probability that the spinner stops on an odd number?
3. You spin the spinner 30 times. It stops on a multiple of 3 five times.
What is the experimental probability of stopping on a multiple of 3?
4. What are the odds in favor of stopping on a multiple of 4?
5. What are the odds against stopping on a multiple of 6?
(6 points) Complete.
6. A survey asked a total of 180 students in your school about their favorite spectator sports. The
table shows the results of the survey.
Sport
Number of
Students
Basketball
40
Soccer
20
Football
45
Baseball
20
Volleyball
16
Wrestling
18
Hockey
21
a. What is the probability that a randomly selected student who participated in this survey
chose football as his or her favorite spectator sport?
b. What is the probability that a randomly selected student who participated in the survey
chose wrestling or hockey as his or her favorite spectator sport?
c. What are the odds in favor of a randomly selected student who participated in this
survey choosing basketball as his or her favorite spectator sport?
(6 points) Find the number of ways you can arrange (a) all of the letters in the given word and
(b) 2 of the letters in the word.
7. TACK
(4 points each) Evaluate.
8.
9.
10.
11.
12.
13.
(8 points each) Complete.
14. You are in a boat racing competition. In each heat, 4 boats race and the positions of the boats
are randomly assigned.
a. In how many ways can a position be assigned?
b. What is the probability that you are chosen to be in the last position?
c. What is the probability that you are chosen to be in the first or second position of the
heat that you are racing in?
d. What is the probability that you are chosen to be in the second or third position of the
heat that you are racing in?
15. A coffee shop offers an open-mike night for poetry. Tonight, 15 people would like to read, but
there is only enough time to have 7 people read.
a. Seven of the 15 people that would like to read are randomly chosen. How many
combinations of 7 readers from the group of people that would like to read are
possible?
b. You and your friend are part of the group that would like to read. What is the
probability that you and your friend are chosen?
c. You and your friend are part of the group that would like to read. What is the
probability that you are chosen first and your friend is chosen second?
d. Which event from part b and part c is more likely to occur?
Part b
(6 points each) You draw a card from a bag that contains 4 yellow cards numbered 1-4 and 5
blue cards numbered 1-5. Tell whether the events A and B are mutually exclusive or
overlapping. The find P(A or B).
16. Event A: You choose a card with an even number
Event B: You choose a number 4 card
Overlapping
17. Event A: You choose a yellow card
Event B: You choose a number 5 card
Mutually Exclusive
(6 points each) Tell whether the events are dependent or independent and then find the
probability.
18. A bag contains 6 red marbles and 5 green marbles. You randomly draw one marble, replace it,
and randomly draw a second marble. What is the probability that both marbles are green?
Independent
19. You write each of the letters of the word BRILLIANT on pieces of paper and place them in a bag.
You randomly draw one letter, do not replace it, the randomly draw a second letter. What is the
probability that the first letter is an L and the second letter is a T.
Dependent