The stickman, a self proclaimed craps expect who is going to give lessons to the novice to make him or her a better player, said that it is a terrible bet since one is 3 rolls will be a 7???? I said that the 7 will appear 1 out of 6 rolls as there are 6 ways to roll a 7 and 36 possible combinations. He then begin to speak with authority and very loudly that no, because as you continue to roll the 7 will come up more often 1 in 3. I started to say but each roll of the dice is an independent event but he would have nothing to do with it. I came back with "push me or my wife the dice and let's play." I was tired of his rant.
None the less it was interesting if not rational thinking. By the way he gave the dice to Rose who had a short money maker using the "Big Skinny" followed by my very fine and skillful point seven out. Rose and I were the only ones at the table so she got the dice right back and she banged out a monster of 50--put her in the books Frank. As they say "the best man for the job may be a woman."
Skinny, look forward to your response.
Doc
Replies:
Posted by: ACPA on June 14, 2012, 9:32 pm
Sorry I wasn't there.
Noah
Posted by: Skinny on June 14, 2012, 10:18 pm
You are correct in that there is a 1 in 6 chance of throwing a seven on any given roll. That means there is a 1/6 probability of throwing a seven and a 5/6 probability of not throwing a seven. In order to win this even money wager you have to avoid throwing a seven 4 rolls in a row.
The probability of winning the wager by not throwing a seven 4 times in a row is (5/6) X (5/6) X (5/6) X (5/6) = 0.4823
The probability of losing the wager is 1 - 0.4823 = 0.5177
The difference between the probability of winning and losing is the house advantage.
0.4823 - 0.5177 = -0.0354
Your instincts were right, it is a bad wager with a -3.5% house advantage.
As for the dealer who claims you will see a seven once every three rolls, he did not know what he was talking about. In three rolls a random roller will roll a seven 42% of the time. He will not roll a seven in three rolls 58% of the time.
Of course Alligator Rose did not seven out in 50 rolls :!: :!: Nice shooting Rose :D
Posted by: Guest on June 14, 2012, 10:34 pm
Posted by: Guest on June 14, 2012, 10:36 pm
Posted by: Diceman on June 14, 2012, 10:51 pm
Posted by: Stickman on June 14, 2012, 11:44 pm
Posted by: Timmer on June 15, 2012, 12:02 am
See you next week!
8-) 8-) 8-)
Posted by: brothelman on June 15, 2012, 2:34 am
Posted by: Pointman on June 15, 2012, 3:55 am
Just curious.
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