SOLUTION: Which of the following events are mutually exclusive? A.Event "ace"and event"black card. B.Event "queen" and event"heart". C.Event "ten" and" spade". D.Event "diamond" and even

Algebra ->  Permutations -> SOLUTION: Which of the following events are mutually exclusive? A.Event "ace"and event"black card. B.Event "queen" and event"heart". C.Event "ten" and" spade". D.Event "diamond" and even      Log On


   



Question 1088711: Which of the following events are mutually exclusive?
A.Event "ace"and event"black card.
B.Event "queen" and event"heart".
C.Event "ten" and" spade".
D.Event "diamond" and event"club".

Answer by jim_thompson5910(35256) About Me  (Show Source):
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A. Not mutually exclusive. It's possible to get a black ace (ace of clubs or ace of spades)

B. It's possible to get a queen of hearts. These two events aren't mutually exclusive.

C. It's possible to get a ten of spades. These two events are also not mutually exclusive.

D. It's impossible to get a diamond card AND a club card at the same time. This is assuming you draw one card only. Therefore these two events are mutually exclusive. If A = getting a diamond and B = getting a club, then P(A and B) = 0.

Answer: Choice D