Rolling a sum of 9 using two 6 sided dice
Odds of favour
Odds against
Probability
Odds of rolling a sum of 9 using two 6-sided dice:
There are a total of 36 possible outcomes when rolling two dice (6 sides on each die), and there are 4 combinations that result in a sum of 9 (3+6, 4+5, 5+4, 6+3).
Odds in favor of rolling a sum of 9:
Number of successful outcomes = 4
Number of total outcomes = 36
Probability of rolling a sum of 9 = 4/36 = 1/9
Odds against rolling a sum of 9:
Number of unsuccessful outcomes = 36 - 4 = 32
Number of total outcomes = 36
Probability of not rolling a sum of 9 = 32/36 = 8/9
Therefore, the odds in favor of rolling a sum of 9 are 1:8, and the odds against rolling a sum of 9 are 8:1. The probability of rolling a sum of 9 is 1/9.