Rules:
Deck Consists Of First 10 Cards of Each Suit (Ace Through 10)
You are dealt a hand of 5 cards
If you get a pair, You Lose $5 per pair
If you get three of a kind, you Lose $3 per three
If you get four of a kind, you win $50
If you get None of a Kind, You Win $6
Pair Chances = (((10 C 1)*(4 C 2))*((9 C 3)*(4 C 1)^3)/ (40 C 5)Two Pairs Chances = (((10 C 2)*(4 C 2)^2)*((8 C 1)*( 4 C 1 )))/ (40 C 5)
Pair and Three of Kind Chances = (((10 C 1)*(4 C 2))*((9 C 1)*(4C3)))/(40 C 5)
Three of a Kind Chances = (((10 C 1)*(4 C 3))*((9 C 2)*(4 C 1)^2))/ (40 C 5)
Four of a kind Chances = (((10 C 1)*(4 C 4))*((9 C 1)*(4 C 1))) / (40 C 5)
None of a Kind Chances = (((10 C 5)* (4 C 1)^5))/ (40 C 5)
Probability of One Pair = 4480/9139 = 49%
Probability of 2 Pair = 1440/9139 = 7.88%
Probability of Two Pair/Three of Kind = 45/9139 = .33%
Probability of Three of a Kind = 320/9139 = 3.5 %
Probability of Four of a kind = 5/9139 = .054%
Probability of none of a kind = 3584/9138 = 39.236%
Probability of Winning money = 39.29%
Probability of Losing Money = 60.71%
Expected Value = -.98824 = -.99 Cents
Wednesday, February 27, 2008
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