SOLUTION: You've answered the question regarding the probability of a yarborough in bridge. What is the probability that the highest ranking card is a 7?

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Question 402745: You've answered the question regarding the probability of a yarborough in bridge. What is the probability that the highest ranking card is a 7?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a yarborough is a 13-card hand containing only cards numbered 2 through 9.
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What is the probability that the highest ranking card is a 7?
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# of cards that are 2 through 7 = 6*4 = 24
# of cards that are 2 through 9 = 8*4 = 32
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# of yarborough hands = 32C13
# of yarborough hands with max card = 7 is 24C13
Assuming you have a yarborough the answer is 24C13/32C13 = 0.007
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Assuming no conditions the prob of having yarboroug
with max card = 7 is 24C13/52C13 = 0.000003931...
Cheers,
Stan H.