1. Compute the indicated quantity.
P(A | B) = .3, P(B) = .5. Find P(A ∩ B).
P(A ∩ B) =
2. Compute the indicated quantity.
P(A) = .1, P(B) = .1. A and B are independent. Find P(A ∩ B).
P(A ∩ B) =
3. The Sad State Lottery requires you to select a sequence of four different numbers from 0 through 55. (Order is important.) You are a Winner if your sequence agrees with that in the drawing, and you are a Booby Prize Winner if your selection of numbers is correct, but in the wrong order. (Enter your answers as exact answers.) What is the probability of being a Winner?
What is the probability of being a Booby Prize Winner?
What is the probability that you are either a Winner or a Booby Prize Winner?