Question

Problem 4. What is the probability that a five card poker hand contains at least one ace?

Problem 5. What is the probability that a five card poker hand contains two pairs? (two of each of two different kinds, and a fifth card of a third kind)

Problem 6. Suppose that 100 people enter a contest and that different winners are selected at random for first, second, and third prizes. What is the probability that Michelle wins one of these prizes if she is one of the contestants?

Problem 7. Find the probability of winning the lottery by selecting the correct six integers between 0 and 50, where the order in which the integers are selected does not matter.

Problem 8. What is the probability that a die never comes up an even number when it is rolled six times?

Problem 9. In roulette, a wheel with 38 numbers is spun. Of these, 18 are red, and 18 are black. The other two numbers, which are neither black nor red, are 0 and 00. The probability that when the wheel is spun it lands on any particular number is 1/38.

a. What is the probability that the wheel lands on a red number?
b. What is the probability that the wheel lands on a black number twice in a row?

c. What is the probability that the wheel lands on 0 or 00?
d. What is the probability that in five spins the wheel never lands on either 0 or 00?

Problem 10. (Challenge) Which is more likely: rolling a total of 9 when two dice are rolled or rolling a total of 9 when three dice are rolled?

Answer 1

Solution: