3 The game of poker involves dealing hands of 5 cards from a standard pack of 52 = 4 × 13 cards. Order is not important, and we will suppose that just the first hand is dealt. (a) How many distinct hands are possible? Find the probability of obtaining a hand with the following features from a randomly shuffled pack: (b) Three of the cards have the same value, the remaining two are different. (c) Five values in sequence (Ace = 1). (d) Five consecutive values in the same suit.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.