Craps odds challenge

Reply #5

Orange71 — Sun, 21 Apr 2024 16:07:52 GMT

As the image shows, the additional information that the bet is settled on exactly the 5th roll after the Come-out roll slightly decreased the probabilities that the Point was a 6 or 8 and increased the probabilities that the Point was a 5 or 9, or 4 or 10.

Reply #4

Orange71 — Sat, 20 Apr 2024 16:23:20 GMT

Copy paste error on slide. Exceeded time limit to re-insert corrected image into post. Corrected equations (3) and (7) below. (Had wrong P subscripts.

Reply #3

Orange71 — Sat, 20 Apr 2024 15:50:24 GMT

Neither is correct. Here is the solution. Keep in mind there are 6 ways to roll a 7 (out of 36). On the first 4 post-Point rolls, neither the Point nor a 7 is rolled. On exactly the 5th post-Point roll, either the Point or a 7 is rolled.

Reply #2

hypersoniq — Sat, 20 Apr 2024 08:45:50 GMT

If I am reading the question right, you are asking what are the odds of rolling the dice to get a combined total of 6.

With 2 six sided dice there are 5 combos that total 6. (1+5, 2+4, 3+3, 4+2, 5+1)

Total outcomes are 36 (6 faces x 6 faces) and favorable outcomes are 5, so the odds are 5/36 that the point roll was a 6.

13.88888889

Reply #1

Phillyfresh — Sat, 20 Apr 2024 02:40:01 GMT

Craps odds challenge

Orange71 — Fri, 19 Apr 2024 21:39:35 GMT

Craps is a common casino dice game. Briefly, two six-sided dice are randomly rolled, and the values of the faces (1-6) are totaled for the two dice. In the common Pass-line bet, there can be three outcomes (referring to the two-dice total): Win - 7 or 11 is rolled, Lose - 2, 3 or 12 is rolled, or Point - 4, 5, 6, 8, 9, or 10 is rolled. In the case of Point, the game outcome is decided as follows. Additional rolls are taken until either (a) the Point recurs, or (b) a 7 occurs. If the Point occurs... [ More ]