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Please explain your work. Thanks. Compute the probability of each of the following poker hands occurring (poker...

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Basic Math

Please explain your work. Thanks.

Compute the probability of each of the following poker handsoccurring (poker hand = 5 cards dealt out of a regular 52-carddeck, the order does not matter). For the following explanations,let the letters u, v, w, x, y, z indicate face values (i.e. ace, 2,3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king). Please note that acescan be either high (that is, they come after the king sequentially)or low (that is, they act like a “one”), but never both at the sametime.

a. Royal flush (10, jack, queen, king, ace; all of the samesuit)

b. Straight flush (not royal) (five sequential cards, all of thesame suit)

c. Four of a kind (x, x, x, x, y)

d. Flush (not straight or royal) (five cards, not allsequential, of the same suit)

e. Straight (not royal or flush) (five sequential cards, not allof the same suit)

f. Full house (x, x, x, y, y) g. Three of a kind (x, x, x, y,z)

h. Two pairs (x, x, y, y, z) i. At least 4 face cards (facecards are jacks, queens, and kings)

j. No more than one ace

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