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Message: [QUOTE="maltz, post: 624481, member: 26654"] Case KK: What's the chance of your KK bumping into AA? - There are 6 kinds of AA. - 50 cards remaining, 1225 possibilities. Sample calculation for 9 opponents: 1-((1225-6)/1225)^9 = 0.043 (1 in 23) 9 opponents: 1 in 23 7 opponents: 1 in 30 5 opponents: 1 in 41 3 opponents: 1 in 68 1 opponent: 1 in 204 Case QQ: What's the chance of your QQ bumping into KK or AA? Sample calculation for 9 opponents: 1-((1225-12)/1225)^9 = 0.0848 (1 in 12) 9 opponents: 1 in 12 7 opponents: 1 in 15 5 opponents: 1 in 21 3 opponents: 1 in 34 1 opponent: 1 in 102 Case JJ: What's the chance of your JJ bumping into QQ, KK or AA? Sample calculation for 9 opponents: 1-((1225-18)/1225)^9 = 0.124 (1 in 8) 9 opponents: 1 in 8.0 7 opponents: 1 in 10 5 opponents: 1 in 14 3 opponents: 1 in 23 1 opponent: 1 in 68 Case TT: What's the chance of your pocket 10s bumping into JJ, QQ, KK or AA? Sample calculation for 9 opponents: 1-((1225-24)/1225)^9 = 0.163 (1 in 6.1) 9 opponents: 1 in 6.1 7 opponents: 1 in 7.7 5 opponents: 1 in 11 3 opponents: 1 in 17 1 opponent: 1 in 51 Case 99: What's the chance of your pocket 9s bumping into 10s or above? Sample calculation for 9 opponents: 1-((1225-30)/1225)^9 = 0.200 (1 in 5.0) 9 opponents: 1 in 5.0 7 opponents: 1 in 6.3 5 opponents: 1 in 8.6 3 opponents: 1 in 14 1 opponent: 1 in 41 Case 88: What's the chance of your pocket 8s bumping into 9s or above? Sample calculation for 9 opponents: 1-((1225-36)/1225)^9 = 0.235 (1 in 4.2) 9 opponents: 1 in 4.2 7 opponents: 1 in 5.3 5 opponents: 1 in 7.2 3 opponents: 1 in 12 1 opponent: 1 in 34 I guess you have a good idea now. In headsup play it is just very rare to push into an overpair. Even with pocket 2s you are looking into 1 in 17. So does this mean that you should always push pocket dueces? 16/17 of the time you are slightly ahead (usually 55:45), and 1/17 of the time you are doomed. :D [/QUOTE]

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