# Question: If it is assumed that all poker hands are equally likely

If it is assumed that all

poker hands are equally likely, what is the probability of being dealt

(a) A flush? (A hand is said to be a flush if all 5 cards are of the same suit.)

(b) One pair? (This occurs when the cards have denominations a, a, b, c, d, where a, b, c, and d are all distinct.)

(c) Two pairs? (This occurs when the cards have denominations a, a, b, b, c, where a, b, and c are all distinct.)

(d) Three of a kind? (This occurs when the cards have denominations a, a, a, b, c, where a, b, and c are all distinct.)

(e) Four of a kind? (This occurs when the cards have denominations a, a, a, a, b.)

poker hands are equally likely, what is the probability of being dealt

(a) A flush? (A hand is said to be a flush if all 5 cards are of the same suit.)

(b) One pair? (This occurs when the cards have denominations a, a, b, c, d, where a, b, c, and d are all distinct.)

(c) Two pairs? (This occurs when the cards have denominations a, a, b, b, c, where a, b, and c are all distinct.)

(d) Three of a kind? (This occurs when the cards have denominations a, a, a, b, c, where a, b, and c are all distinct.)

(e) Four of a kind? (This occurs when the cards have denominations a, a, a, a, b.)

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