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dstainer
02-10-2005, 07:10 PM
What are the odds in a nine-handed game of someone sharing a card with you? For instance, you holding a queen and someone else having a queen as well.
BruceZ
02-10-2005, 07:30 PM
Welcome to the forum.

[ QUOTE ]
What are the odds in a nine-handed game of someone sharing a card with you? For instance, you holding a queen and someone else having a queen as well.

[/ QUOTE ]

Do you mean a particular card, or either one of your cards? If you don't hold a pair, the probability that someone shares at least one of your cards is 1 - C(44,16)/C(50,16) = 91.5%. The probability that someone shares one particular card is 1 - C(47,16)/C(50,16) = 69.5%. If you hold a pair, the probabaility that someone shares your card is 1 - C(48,16)/C(50,16) = 54.2%.
dstainer
02-10-2005, 07:57 PM
I apologize let me clarify a little more. My hand was KQ I want to know the probability of an opponent in a nine-handed game having a Q.
BruceZ
02-10-2005, 08:15 PM
[ QUOTE ]
I apologize let me clarify a little more. My hand was KQ I want to know the probability of an opponent in a nine-handed game having a Q.

[/ QUOTE ]

That would be 69.5% then from my previous post, assuming random hands.
Loci
02-10-2005, 08:23 PM
lol... depends how much they bet.