soccergirl13
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- May 6, 2018
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A hand of Texas Hold’em (a type of poker game) is down to two players, as three players have folded (quit the hand). Here is what has happened so far (two cards remain to be dealt).
Player One’s cards: J of hearts, Q of spades
Player Two’s cards: 9 of hearts, 9 of spades
Community cards: A of hearts, A of spades, 10 of clubs
Folded cards (cards that are no longer in play – the players don’t know that these are out of play, but that doesn’t matter for what I am asking): 3H, 5D, 2S, JD, 4C, 4D
For those of you who are familiar with poker, ignore all of the stuff about gambling. This is completely about the cards. There are two community cards left to be dealt. After they are dealt, each player will make their best five-card hand from the five cards in the community and their own two cards.
If you need information about the rankings of different hands, you can go here: https://www.cardplayer.com/rules-of-poker/hand-rankings
a. Find the probabilities of each player having the better hand when the two remaining cards have been dealt.
b. The next card is dealt. It is the 10 of diamonds. Find the probabilities of each player having the better hand when the remaining card has been dealt. (Note: This question is easier/shorter than the question in part a, so you are probably better off doing this first. In both cases, you have to show your work.)
Player One’s cards: J of hearts, Q of spades
Player Two’s cards: 9 of hearts, 9 of spades
Community cards: A of hearts, A of spades, 10 of clubs
Folded cards (cards that are no longer in play – the players don’t know that these are out of play, but that doesn’t matter for what I am asking): 3H, 5D, 2S, JD, 4C, 4D
For those of you who are familiar with poker, ignore all of the stuff about gambling. This is completely about the cards. There are two community cards left to be dealt. After they are dealt, each player will make their best five-card hand from the five cards in the community and their own two cards.
If you need information about the rankings of different hands, you can go here: https://www.cardplayer.com/rules-of-poker/hand-rankings
a. Find the probabilities of each player having the better hand when the two remaining cards have been dealt.
b. The next card is dealt. It is the 10 of diamonds. Find the probabilities of each player having the better hand when the remaining card has been dealt. (Note: This question is easier/shorter than the question in part a, so you are probably better off doing this first. In both cases, you have to show your work.)
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