QUOTE(yeapsc73 @ Aug 9 2023, 06:09 PM)
it is probability.
in big-small, 35/72 chance to get big, 35/72 chance to get small, 2/72 chance to get triple.
so your expected return is 400 x 35/72 +400 x 35/72 + 3100 x 2/72 = 475, meaning u loss 25 out of 500 or 5% in average
if my earlier model, 2800 x 35/72 +3000 x 35/72 + 3100 x 2/72 = 2906, meaning u loss 94 out of 3000 or 3.1% in average
216 Possible Outcomes: Rolling three six-sided dice gives you a total of 216 different combinations (6 sides * 6 sides * 6 sides).in big-small, 35/72 chance to get big, 35/72 chance to get small, 2/72 chance to get triple.
so your expected return is 400 x 35/72 +400 x 35/72 + 3100 x 2/72 = 475, meaning u loss 25 out of 500 or 5% in average
if my earlier model, 2800 x 35/72 +3000 x 35/72 + 3100 x 2/72 = 2906, meaning u loss 94 out of 3000 or 3.1% in average
"Big" Outcome: There are 35 ways to get a "big" outcome (where the total of the three dice is between 11 and 17, excluding triples).
"Small" Outcome: There are also 35 ways to get a "small" outcome (where the total of the three dice is between 4 and 10, excluding triples).
"Triple" Outcome: A "triple" occurs when all three dice show the same number. There are 6 ways this can happen.
Probabilities:
Probability of "big" = 35 big outcomes / 216 total outcomes = 35/216.
Probability of "small" = 35 small outcomes / 216 total outcomes = 35/216.
Probability of "triple" = 6 triple outcomes / 216 total outcomes = 6/216.
Using 72 as a Common Denominator:
To simplify the probabilities, you can multiply both the numerator and denominator of each fraction by a number that results in 72:
Probability of "big" = 35/72 ≈
0.486111
Probability of "small" = 35/72 ≈
0.486111
Probability of "triple" = 2/72 ≈
0.027778
This post has been edited by plouffle0789: Aug 9 2023, 06:26 PM
Aug 9 2023, 06:20 PM

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