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Recall that a regular deck of 52 playing cards contains cards as shown below. 12 Also: . Clubs (), Diamonds (), Hearts () and Spades
Recall that a regular deck of 52 playing cards contains cards as shown below. 12 Also: . Clubs (), Diamonds (), Hearts () and Spades () are referred to as the suits of the cards, . A, 2, 3, 4 .. . , J, Q, K are referred to as denominations of the cards. A player is dealt a hand of 7 cards. (A) [3 marks] What is the probability that they are dealt a four-of-a-kind (i.e. four cards of the same denomination) among those 7 cards? (B) [3 marks] The player looks at the first two cards they are dealt and tells you they have a pair (i.e. two cards of the same denomination). What is the probability that their complete 7-card hand contains a four-of-a-kind? (C) [3 marks] What is the probability that they are dealt two three-of-a-kinds (i.e. two different sets of three cards of the same denomination) among the 7 cards
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