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Consider a standard deck of 52 cards.You plan to draw five cards from this deck without replacement and observe the suit and rank of the

Consider a standard deck of 52 cards.You plan to draw five cards from this deck without replacement and observe the suit and rank of the cards.The sample space, S, contains all possible 5 card combinations. As an example, one possible outcome of this experiment might be: 2 , 6 , J , J , K . The order in which the cards are drawn is irrelevant.(a) How many outcomes are contained within the sample space? That is, what is n(S)?(b) Let A represent the event that exactly two of the five cards are diamonds. What is n(A)? Explain your reasoning.(c) What is P(A)? Justify your answer. (with explanations for all please)

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