A card is randomly selected from a standard, 52-card deck. The denomination on the card is recorded so that the resulting sample space is {A, 2, 3, 4, 5, 6, 7, 8, 9, 10, K, Q, J}. (In other words, we ignore the suits.) (a) (5 points) Given that the card selected displays some number from 3 to 10 (inclusive), what is the probability that the value on the card is not a multiple of 4? (b) (5 points) Suppose a second card is drawn from the deck without replacing the first. Let E be the event of drawing a king second and Page 2 let F be the event of drawing a queen first. The events E and F are: A. mutually exclusive B. independent C. both mutually exclusive and independent D. neither mutually exclusive nor independent
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