c. Using a standard deck of 52 cards, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event. True of False

Answer:TrueStep-by-step explanation:If two events X and Y are mutually exclusive, Then,P(X∪Y) = P(X) + P(Y)Let A represents the event of a diamond card and B represent the event of a heart card,We know that,In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )That is, those cards which are heart can not be diamond card,⇒ A ∩ B = ∅⇒ P(A∩B) = 0Since, P(A∪B) = P(A) + P(B) - P(A∩B)⇒ P(A∪B) = P(A) + P(B)By the above statement,Events A and B are mutually exclusive,Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.