3.72 For two events A and B, P(A) = .4, P(B) = 2, and P(A|B) = .6. a. Find P(ANB). b. Find P(BA).

For the following exercises, use this scenario: a bag of M&Ms contains 12 blue, 6 brown, 10 orange, 8 yellow, 8 red, and 4 green M&Ms. Reaching into the bag, a person grabs 5 M&Ms. 50. What is the probability of getting no brown M&Ms?

Is it possible that P(AB)=P(A)? Explain.

Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and 1 beige cubes

Use the following scenario for the exercises that follow: In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20 winning numbers are randomly selected from numbers 1 to 80. A win occurs if the player has correctly selected 3,4, or 5 of the 20 winning numbers. (Round all answers to the nearest hundredth of a percent.) 55. How much less is a player’s chance of selecting 3 winning numbers than the chance of selecting either 4 or 5 winning numbers?

For the following exercises, one card is drawn from a standard deck of 52 cards. Find the probability of drawing the following: 27. A two

For the following exercises, one card is drawn from a standard deck of 52 cards. Find the probability of drawing the following: 29. Red six

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.

For the following exercises, one card is drawn from a standard deck of 52 cards. Find the probability of drawing the following: 31. A non-ace

Use the following scenario for the exercises that follow: In the game of Keno, a player starts by selecting 20 numbers from the numbers 1 to 80. After the player makes his selections, 20 winning numbers are randomly selected from numbers 1 to 80. A win occurs if the player has correctly selected 3,4, or 5 of the 20 winning numbers. (Round all answers to the nearest hundredth of a percent.) 54. What is the percent chance of winning?