Binomial Probability
1. You flip two coins. Compute the theoretical
probability that
a. you get exactly one tail.
b. you get at least one tail.
c. you get two tails.
2. You flip three coins. What is the probability
that you get
a. exactly one tail?
b. at least one tail?
c. two tails?
d. three tails?
e. at least two tails?
f. less than three tails?
3. You roll two tetrahedral (4 sided) dice and add the resulting numbers. What is the probability that you get a sum of 6?
4. You roll three tetrahedral dice. What is the probability that you get the same number on all three dice?
5. You roll three cubical (regular) dice. How many outcomes are possible?
6. You roll three cubical dice. What is the probability that you get the same number on all three dice?
7. You flip 4 coins. How many outcomes are possible?
8. You flip one coin 4 times. How many outcomes are possible?
9. You flip 4 coins. What is the probability
of getting
a. exactly two heads?
b. at least two heads?
c. fewer than two heads?
10. A couple plans to have five children. What is the probability of having exactly two girls?
11. You take a 4 question true or false quiz. If you guess on every question, what is the probability that you get exactly two questions right?
12. A multiple choice test has 5 choices for each question. For any one question, if you guess, what is the theoretical probability that you get the answer correct?
13. You toss 9 coins. How many outcomes are there?
14. You toss 1 coin 9 times. How many outcomes are there?
15. Give a sample outcome for problem 14.
16. You toss 5 coins. What is the probability
that you get
a. exactly 3 heads?
b. at least 3 heads?
c. all five heads?
d. no heads?
17. What is the theoretical probability of all girls in a 6 child family?
18. You guess on all the answers to a 10 item true or false quiz. What is the probability of getting them all correct?
19. You roll two octahedral (8 sided) dice. What is the probability of getting at least one 4?
20. You roll three octahedral dice. What is the probability of getting at least one 4?
21. You roll four octahedral dice. What is
the probability of getting at least one 4?