A) Find the probability that a 5 card poker hand contains a straight flush (five cards in numerical order and of the same suit). Note: aces can be high or low, but not both at the same time, i.e., A, 2, 3, 4, 5 and 10, J, Q, K, A are both valid straights but Q, K, A, 2, 3 is not. B) A vase contains 12 black marbles, 5 blue marbles, and 8 red marbles. You pick 3 marbles at random, one at a time, without replacement. Find the probability that you pick 1 blue, 1 red, and 1 black marble in that order.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A) Find the probability that a 5 card poker hand contains a straight flush (five cards
in numerical order and of the same suit). Note: aces can be high or low, but not both at the
same time, i.e., A, 2, 3, 4, 5 and 10, J, Q, K, A are both valid straights but Q, K, A, 2, 3 is not.

B) A vase contains 12 black marbles, 5 blue marbles, and 8 red marbles. You pick 3
marbles at random, one at a time, without replacement. Find the probability that you pick 1
blue, 1 red, and 1 black marble in that order.

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