Probability of rolling a 3 is 2/36 & the probability of rolling a 6 is 5/36; probability of rolling a 3 or 5 is 2/36 + 5/36 = 7/36.
a 2 out of 6 probability
The probability is 11/36. There are 36 possible outcomes, but 25 of these don't involve a 2 on either die. The way to answer this is to ask what is the probability of not rolling a 2 on either die and subtract this from one. The probability of not rolling a 2 with the first die is 5/6. It is of course also 5/6 chance of not rolling a 2 with the second die. So we multiply the probabilities and subtract from 1. 1 - (5/6 * 5/6) = 1 - (25/36) = 11/36.
The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six. There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36. The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.
5 out of 6 or 83.333%
Probability of rolling a 3 is 2/36 & the probability of rolling a 6 is 5/36; probability of rolling a 3 or 5 is 2/36 + 5/36 = 7/36.
a 2 out of 6 probability
The probability is 11/36. There are 36 possible outcomes, but 25 of these don't involve a 2 on either die. The way to answer this is to ask what is the probability of not rolling a 2 on either die and subtract this from one. The probability of not rolling a 2 with the first die is 5/6. It is of course also 5/6 chance of not rolling a 2 with the second die. So we multiply the probabilities and subtract from 1. 1 - (5/6 * 5/6) = 1 - (25/36) = 11/36.
It is 1 - Prob(not rolling a 1 nor a 5 on either die) (4/6)2 = (2/3)2 = 4/9 = 0.444... recurring.
The probability of rolling at least one 2 when rolling a die 12 times is about 0.8878. Simply raise the probability of not rolling a 2 (5 in 6, or about 0.8333) to the 12th power, getting about 0.1122, and subtract from 1.
The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six. There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36. The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.
5/6
5 out of 6 or 83.333%
impossible.
1 in 6 = rolling a 2 5 in 6 = not rolling a 2
The probability of rolling a sum of 5 with two die is 4 over 36, or 2 over 18, or 1 over 9.
The probability of not rolling a 6 is 5/6.