Written Assignment 3.pdf

# Written Assignment 3.pdf - Written Assignment 3 Texas...

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Written Assignment 3 Texas Hold’em As is stated at the beginning of ch. 4. The immensely popular poker game known as Texas hold’em is played be dealing out each player two “hole cards” and then all players utilizing community cards (Weis ch. 4 pg. 144.) The the text then asks us to examine a few scenarios regarding such a set up. A. The probability that you are dealt pocket Aces is is 1/221. Or 0.00452 to three significant digits. Verify this probability. Considering that there are 52 cards in all, and that there are 6 possible combinations of Aces that can be dealt Hearts, Spades Hearts, Diamonds Hearts, Clubs Spade, Diamond Spade, Club Diamond, Club We can also solve this by 4 (the original number of possibilities) multiplies by 3 (the new number of possibilities) divided by 2 (our desired outcome) So… Then we have the possibilities of any two cards out of a deck of 52 which we can find in the same manner by 52 (original number of possibilities) by 51 (new number of possibilities) divided by 2. Then we take the number of possible combinations of double Ace’s and divide that by the possible number of 2 cards hands out of a deck of 52. 4 3 2 = 12 2 = 6 52 51 2 = 2652 2 = 1326

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to three significant digits. That gives us a probability of of getting pocket Ace’s on the flop. So as one can see, our chances are not that great by any stretch of the imagination. B.) Using the results from part (a.), obtain the probability that your are dealt pocket kings. The possible combinations of two of the four kings in a 52 card deck are: Hearts, Spades Hearts, Diamonds Hearts, Clubs Spade, Diamond Spade, Club Diamond, Club As you can see, this is the exact same configuration as with pocket Ace’s. Whether they are Aces or Kings the amount of cards is still the same, so the probability is still the same. But in the
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