Poker is back. It is so popular that the internet is loaded with on-line poker sites. Johnny C. is a poker enthusiast who believes that a certain on-line site is manipulating the probabilities to encourage winning. He has recorded the results of 3 months of playing with the accepted probabilities for each hand, n = 2,996.
| Hand |
1 pair |
2 pair |
3 of a kind |
straight |
flush |
full house |
other |
| probability |
0.4425 |
0.0475 |
0.0211 |
0.0039 |
0.0020 |
0.0014 |
0.4816 |
| Number of hands |
1,309 |
140 |
59 |
13 |
5 |
7 |
1,463 |
| Expected Values |
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Test Johnny C's claim that the on-line games do not follow the accepted probabilities with ? = .005.
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There are many other poker hands that were lumped into the "Other" category ( IE: Royal Flush, probability of 0.000015391). Why did Johnny C. have to place these hands into one category?