Theoretical Probability Problems
1. You have 8 chips in a bag: 4 blue, 3 red, 1 yellow. You randomly select a chip, record its color, put it back, and select a chip again. What is the theoretical probability that
a. both chips are blue
b. the first chip is blue and the second is red
c. the chips you select are red and blue
d. at least one chip is blue.
2. Do problem 1 without replacement.
3. A jar contains quarters, nickels, and dimes. There are 20 quarters, 32 nickels and 15 dimes. If you randomly select 1 coin from this jar, what is the theoretical probability that it is
a. a quarter
b. not a nickel
c. a quarter or a dime
d. a quarter and a nickel
4. Same jar as in problem 3. Select two coins with replacement. What is the probability that they are
a. both quarters
b. a quarter followed by a nickel
c. a quarter and a nickel in any order
5. Same jar as problem 3. Select three coins with replacement. What is the probability that they are
a. all quarters
b. a quarter, followed by a nickel, and then a
dime
c. a quarter, nickel and dime in any order
6. Do problem 4 without replacement.
7. Do problem 5 without replacement.