Consider a deck of 52 cards with four suits (spade, heart, diamond and club). Ea

Question

Consider a deck of 52 cards with four suits (spade, heart, diamond and club). Each suit has cards indexed by 2, 3,..., 10, J, Q, K, A. A set of five cards is called a full house if three of them are of the same index and the other two share another index. See the following for an example of a full house. Assume that a set of five cards is selected at random, that is, each card has the same probability to be chosen. Given that such a set is a hill house, what is the probability that it contains 3 aces? (A) (13 1) (B) (13 2) (C) (13 2) times 2! (D)(13 2) times 3!

Explanation / Answer

option A means C(13,1)=13> 1 and so is not youranswer infact as the first person told you none of the given optionis the correct answer. and this is intutive from the options given as they are nothing but combinations and so all of themwill have value greater than 1 it is not clear to me what you mean by 13/1 and so the correct answer is E)none of these

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