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45. Two events with nonzero probabilities a. can be both mutually exclusive and independent b . can not be both mutually exclusive and independent C. are always mutually exclusive d. are always independent 46. Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is a one b. any positive value C. zero d. any value between 0 to 1 47 . Assuming that each of the 52 cards in an ordinary deck has a probability of 1/52 of being drawn, what is the probability of drawing a black ace? a. 1/52 b. 2/52 C. 3/52 d. 4/52 48. If a dime is tossed four times and comes up tails all four times, the probability of heads on the fifth trial is a smaller than the probability of tails b. larger than the probability of tails C. 1/2 d. 1/32