5. There are 3 twenty-dollar bills, 6 ten-dollar bills, and 9 five-dollar bills in a box. Suppose a game is played in which a bill is randomly taken from the box, replaced, and then a second bill is drawn from the box. If you are allowed to keep the second bill only if it was the same type as the one that was drawn the first time, calculate the probability that you will be able to keep any bill.

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4. Find the indicated probability and state whether A and B are mutually exclusive. a) P(A) = 0.3, P(B) = 0.4, P(A U B) = 0.5, P(A n B) = ? 4. Find the indicated probability and state whether A and B are mutually exclusive. a) P(A) = 0.3, P(B) = 0.4, P(A U B) = 0.5, P(A n B) = ?