Consider a standard 52-card deck from which one card is randomly selected and no
ID: 3049555 • Letter: C
Question
Consider a standard 52-card deck from which one card is randomly selected and not replaced. Then, a second card is randomly selected. Define the two events as given. Complete parts a) and b) below. A = The first card is a heart B = The second card is a club a) Are these two events mutually exclusive? Why or why not? A. The events are not mutually exclusive. The event of selecting a heart as the first card can occur at the same time as O B. The events are mutually exclusive. The event of selecting a heart as the first card can occur at the same time as C. The events are not mutually exclusive. The event of selecting a heart as the first card cannot occur at the same time as 0 D. The events are mutually exclusive. The event of selecting a heart as the first card cannot occur at the same time as selecting a club as the second card during the experiment. selecting a club as the second card during the experiment. selecting a club as the second card during the experiment. selecting a club as the second card during the experiment. b) Are these two events independent? Why or why not? The events are independent. Selecting a heart the first time does not influence the probability of selecting a club the second time. A. B. The events are independent. Selecting a heart the first time influences the probability of selecting a club the second time. ° C. The events are not independent Selecting a heart the first time influences the probability of selecting a club the second time. 0 D. The events are not independent. Selecting a heart the first time does not influence the probability of selecting a club the second time. Click to select your answer 2Explanation / Answer
Solution:
a)
B.The events are mutually exclusive.The event of selecting a heart as the first card can occur at the same time as selecting a club as the second card during the experiment.
b)
A.The events are independent. Selecting a heart the time doesnot influence the probability of selecting a
club the second time.