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You might be surprised at the number of scientists that are good at poker. This

ID: 3297424 • Letter: Y

Question

You might be surprised at the number of scientists that are good at poker. This likely has to do with knowledge of probabilities. Consider drawing cards without replacement from a standard deck of 52 playing cards. Your initial five cards are: 8 9 10 J Q a) What is the probability your 6th drawn card will be a 7, a Q, or a K? b) What is the probability your 6th drawn card drawn will be a ? c) Show that a flush (5 cards with the same suit) is a less probable hand of cards to draw than a straight (5 sequential cards).

Explanation / Answer

a) No of cards left = 47

No of cards of 7, Q,K = 4+3+4 = 11

Probability = 11/47

b) Probability that 6th drawn will be spade = 8/47

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