OK... so lets say i'm playing poker against my friend. We are both dealt two cards which only we can see. Then 3 cards are dealt which we can both see. If two of the community cards are kings, does it make it less likely that my friend has a king?
2007-07-22 15:52:41 · 7 answers · asked by Chris tf 2 in Science & Mathematics ➔ Mathematics
Yes it does. It's a conditional problem. If it is given that there is one less king for him to have, then there is a smaller chance of him having a king.
Let's suppose that neither your two cards, nor the 3 community cards are kings. That means there are 47 cards left for him to choose from, 4 of which are kings.
P(he has no kings) = 43/47 * 42/46 = 903/1081
P(he has at least one king) = 1-above = 178/1081
If it is given that two of the community cards are kings, then there are 47 cards to choose from, 2 of which are kings
P(he has no kings) = 45/47 * 44/46 = 990/1081
P(he has at least one king) = 1-above = 91/1081
2007-07-22 16:00:35 · answer #1 · answered by Dr D 7 · 0⤊ 0⤋
On the average, one would expect to see one king in every 13 cards dealt. You have had seven cards dealt, of which 5 you can see, and 2 of which are kings. So in the other 47 cards, there can only be 2 kings. Your friend has 2 cards, so what would be the chance that he has one king? Alot less than 1 in 13.
2007-07-22 23:04:50 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋
Yes. Before the community cards come out (assuming that you do not have kings), the probability that your friend has a king is 4/50 + 4/49 = 198/1225 = 0.162
But if two kings come on the flop, now the probability of him having a king is 2/47 + 2/46 = 93 / 1081 =0.086
So he is about half as likely to have a king than he was before the flop.
2007-07-22 23:02:25 · answer #3 · answered by Jeƒƒ Lebowski 6 · 0⤊ 0⤋
well it depends on how you look at it there are still two kings in the deck so instead of a 1/13 chance of getting the card he only has a 1/26 chance at having a king
2007-07-22 23:02:59 · answer #4 · answered by Anonymous · 0⤊ 0⤋
More than likely, no. Depends on if your friend is bluffer or not. If he actually held a King then he should check to induce your bet, so as to capture more of your money. You could bet at it, if he goes over the top of your bet then he more than likely will have that 3rd king. You then fold.
2007-07-22 23:01:52 · answer #5 · answered by rskotsj 1 · 0⤊ 1⤋
Yes, but that doesn't mean he doesn't have one. If there is betting on 4th or 5th street you may have to adjust your thinking.
2007-07-22 23:04:48 · answer #6 · answered by melville tiger 2 · 0⤊ 0⤋
yes.
2007-07-22 23:00:46 · answer #7 · answered by takeashot30 4 · 0⤊ 0⤋