If it is assumed that all  poker hands are equally likely, what is the probability of bein...

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.)

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

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

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(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.)

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