Dice and Craps
Interesting thing I thought of with regards to rolling dice in craps.
For those who don't know, if you roll 7 anytime except in the beginning (more or less) you will lose. 7 is the most common combination for 2 -6 sided dice so the house has a tremendous advantage. Hit almost anything else and you can win!
Some basics on probabilities.
Different combinations of 2 dice: 36
Ways to hit 7: 1:6 2:5 3:4 ... so 6/36
Ways to hit 6: 1:5 2:4 3:3 ... so 5/36
Ways to hit 5: 1:4 2:3 ... so 4/36
Ways to hit 4: 1:3 2:2 3:1 so 3/36
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..
Anyways you can put a $25 bet on the 4, which pays you $50 (buying the pt), but they charge you a $1 vig (vigorish). You get paid 2:1 on the 4, because the odds of hitting a 4 before a 7 are 6/36 vs 3/36 or 2:1. Same principal applies for all the other #'s (4,5,6,8,9,10).
There's another way to bet the 4, you can put $25 on the line (no vig) where $5 pays $9. So $25 pays you $45. Buying the pt earns you an extra $4. Buying a 5 ($25 pays 3:2 = $37.50 - $1 = $36.50) vs placing a 5 ($25 pays 7:5 = $35) earns you $1 bonus. Buying a 6 or 8 is a losing proposition.
Well thats not my point, but it was interesting wasn't it? Now you are a craps master. Throw down $100 and yell "buy the 4 and 10 $50 each". Note you may have to pay the vig up front in some casinos (so keep $4 change ready).
Next interesting thing I pondered was how to throw the dice optimally. Physics aside.. if you could roll dice and keep the dice rolling on a single axis, what would that mean? There is something to this. Oddly enough most people pair up their dice 3-3 up, facing the same way. I've come to find that this is the worst possible lineup of dice you can do!
More later.. getting tired. And bored of this stupid topic.
For those who don't know, if you roll 7 anytime except in the beginning (more or less) you will lose. 7 is the most common combination for 2 -6 sided dice so the house has a tremendous advantage. Hit almost anything else and you can win!
Some basics on probabilities.
Different combinations of 2 dice: 36
Ways to hit 7: 1:6 2:5 3:4 ... so 6/36
Ways to hit 6: 1:5 2:4 3:3 ... so 5/36
Ways to hit 5: 1:4 2:3 ... so 4/36
Ways to hit 4: 1:3 2:2 3:1 so 3/36
..
..
Anyways you can put a $25 bet on the 4, which pays you $50 (buying the pt), but they charge you a $1 vig (vigorish). You get paid 2:1 on the 4, because the odds of hitting a 4 before a 7 are 6/36 vs 3/36 or 2:1. Same principal applies for all the other #'s (4,5,6,8,9,10).
There's another way to bet the 4, you can put $25 on the line (no vig) where $5 pays $9. So $25 pays you $45. Buying the pt earns you an extra $4. Buying a 5 ($25 pays 3:2 = $37.50 - $1 = $36.50) vs placing a 5 ($25 pays 7:5 = $35) earns you $1 bonus. Buying a 6 or 8 is a losing proposition.
Well thats not my point, but it was interesting wasn't it? Now you are a craps master. Throw down $100 and yell "buy the 4 and 10 $50 each". Note you may have to pay the vig up front in some casinos (so keep $4 change ready).
Next interesting thing I pondered was how to throw the dice optimally. Physics aside.. if you could roll dice and keep the dice rolling on a single axis, what would that mean? There is something to this. Oddly enough most people pair up their dice 3-3 up, facing the same way. I've come to find that this is the worst possible lineup of dice you can do!
More later.. getting tired. And bored of this stupid topic.

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