Name
Class
Date
13.1,4 Experimental, Theoretical Probability, Compound Probability
You roll a standard number cube 10 times. The results are shown below.
6, 4, 6, 1, 5, 2, 4, 2, 4, 3
Find the experimental probability of each outcome.
1. P(rolling a 5)
2. P(rolling a 6)
3. P(rolling an even number)
4. P(rolling a 1)
5. What is the experimental probability of rolling an odd number on a standard
number cube? For 50 rolls of the number cube, predict the number of rolls
that will result in an odd number.
Find the theoretical probability of each outcome.
6. P(rolling a 5)
7. P(rolling a 6)
8. P(rolling an even number)
9. P(rolling a 1)
10. P(rolling an odd number)
11. P(rolling a multiple of 3)
A bag contains 2 red ping-pong balls, 3 green ping-pong balls, 3 blue ping-pong
balls, and 1 yellow ping-pong ball. Find the probability of randomly selecting
each outcome.
12. P(not red)
13. P(not green)
14. P(not blue)
15. P(not yellow)
16. Reasoning How are the probability of an event and the probability of its
complement related mathematically?
Two standard number cubes are rolled. Find each probability.
18. P(sum not equal to 2)
17. P(a sum equal to 2)
19. P(a product equal to 15)
20. P(a sum greater than 6)
21. P(a product less than or equal to 2)
22. P(a sum equal to 12)
23. Open-Ended Is it possible for an event to have a probability of 1? Explain
your answer.
24. Error Analysis Out of 20 coin flips, your classmate gets heads 14 times.
She determines that the experimental probability of getting heads is 1 .
2
What error did your classmate make? What is the correct value for
experimental probability? Explain.
For Exercises 1–3, determine whether the events are independent or dependent.
1. You roll a 2 on a number cube and spin a 3 on a spinner.
2. You choose a King from a deck of cards and get heads in a coin toss.
3. You roll a number cube and get a 6, and roll again if the first roll is a 6.
4. What is P(A and B) if P( A) = 1 and P( B) = 2 , where A and B are independent
2
7
events?
5. What is the probability of rolling a 4 on a fair number cube and getting “tails”
when tossing a coin?
6. What is P(A or B) if P(A) = 32% and P(B) = 17%, where A and B are mutually
exclusive events?
7. At a local high school, 34% of the students take a bus to school and 56% of
the students walk to school. What is the probability of randomly selecting a
student that takes a bus or walks to school?
8. A spinner has 8 equal sections numbered 1 to 8. What is the probability of the
spinner stopping on a number that is a multiple of 3 or is greater than 5?
9.
A local aquarium has 6 turtles, 12 penguins, and 8 sharks. You randomly select
1 animal to watch. What is the probability that you select a turtle or a shark?
10. You donate 8 baseballs to a local baseball team. Your uncle donates
12 baseballs. If a total of 50 baseballs are donated, what is the probability
that the first pitch of the season uses one of your baseballs or one of your
uncle’s baseballs? Write your answer as a percent.
Use the spinner at the right for Exercises 11–13.
11. What is the probability of the arrow stopping on a
consonant or one of the first 4 letters of the alphabet?
12. What is the probability of the arrow stopping on
“X” on the first spin and “F” on the second spin?
13. What is the probability of the arrow stopping on
“J” or “A” on one spin?