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poker hand is defined as drawing 5 cards at random without replacement from a deck of 52 playing cards. find the probability of each of the following poker hands: (a) four of a kind (four cards of equal face value and one card of a different value). (b) full house (one pair and one triple of cards with equal face value). (c) three of a kind (three equal face values plus two cards of different values). (d) two pairs (two pairs of equal face value plus one card of a different value). (e) one pair (one pair of equal face value plus three cards of different values)



Answer :

(a) We have 13 possibilities that a five-card hand will contain four of a kind.

(b) We have 12 possibilities that a five-card hand will contain a full house.

What do you mean by probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

The probability of an occurrence is a number between 0 and 1, with 1 representing certainty and 0 representing impossibility.

Since there are no other conceivable outcomes and the coin is fair, the odds of both the possibilities, "heads" and "tails," are equally likely to occur. As a result, the probability of either occurrence is half (which could also be written as 0.5)

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