From: Joe Date: 2008-01-05T11:22:26+09:00 Subject: Re: Studying Blackjack (#151) I didn't think it was supposed to be run a specific number of times, but go over all possibilities. I was thinking something like this: (with 2 decks of cards) 2 2 2 2 2 2 2 2 3 - 19 2 2 2 2 2 2 2 2 4 - 20 2 2 2 2 2 2 2 2 5 - 21 2 2 2 2 2 2 2 2 6 - bust 2 2 2 2 2 2 2 2 7 - bust also would these be considered different hands or the same? 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 3 2 I may be wrong though. If that's the case someone correct me. Joe On Jan 4, 2008 8:55 PM, Eric I. wrote: > Here are my results. I combined the 10 and the face cards in one row > since they're essentially equivalent. And the data was generated by > doing 10,000 deals per upcard. > > upcard bust 17 18 19 20 21 > natural > ------ ------- ------- ------- ------- ------- ------- > ------- > 2 | 35.95% 13.32% 13.17% 13.34% 12.44% 11.78% > 0.00% > 3 | 37.85% 13.41% 12.93% 11.69% 12.51% 11.61% > 0.00% > 4 | 40.14% 13.24% 11.86% 12.03% 11.48% 11.25% > 0.00% > 5 | 41.80% 12.82% 12.32% 11.41% 11.34% 10.31% > 0.00% > 6 | 41.76% 17.65% 10.59% 10.36% 10.04% 9.60% > 0.00% > 7 | 26.77% 36.23% 13.53% 8.29% 7.88% 7.30% > 0.00% > 8 | 24.96% 12.84% 35.69% 12.73% 7.04% 6.74% > 0.00% > 9 | 22.98% 12.27% 10.69% 35.47% 12.22% 6.37% > 0.00% > 10 | 21.61% 11.21% 11.68% 11.23% 32.97% 3.55% > 7.75% > ace | 11.60% 12.33% 13.03% 13.06% 13.43% 5.27% > 31.28% > > I do wonder, though, whether the deck is biased somehow when the > dealer deals him/herself since all the players are dealt beforehand. > For example, it seems a player is more likely to consume a sequence of > low cards through consecutive hits than a sequence of high cards. So > depending on the number of players at the table, the cards the dealer > is likely to get may change somewhat. And perhaps the dealer's odds > change further the deeper into the shoe the table gets. Does anyone > know? > > Eric > > ==== > > Are you interested in on-site Ruby training that uses well-designed, > real-world, hands-on exercises? http://LearnRuby.com > >