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To find the probability of rolling a sum divisible by 6 with two six-sided dice, we first determine the total number of possible outcomes, which is 36 (6 sides on the first die multiplied by 6 sides on the second). The sums that are divisible by 6 are 6, 12, and 18. The specific combinations that yield these sums are (1,5), (2,4), (3,3), (4,2), (5,1) for 6, and (6,6) for 12, totaling 6 successful outcomes. Therefore, the probability is 6 out of 36, which simplifies to 1/6.

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1w ago

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Related Questions

What is the probability of rolling a sum of 7 when rolling one die twice?

The probability is 1/6.


What is the probability of not rolling sum of 6 with two fair dice?

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.


What is the probability of getting a sum that is divisible by 6?

It depends on what the experiment is.


What the probability of rolling a 6 sided die and getting a 4 or a number divisible by 3?

If the die is fair then for a single roll, the probability is 1/2.


What is the probability of rolling a sum of 12 with two dice?

The probability is 1/6 x 1/6 = 1/36.


What is the probability of not rolling a sum of 7 with two fair dice?

When rolling two fair six-sided dice, there are a total of 36 possible outcomes. The combinations that result in a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1), totaling 6 outcomes. Therefore, the probability of rolling a sum of 7 is 6/36, or 1/6. Consequently, the probability of not rolling a sum of 7 is 1 - 1/6, which equals 5/6, or approximately 83.33%.


What is the probability of getting a number divisible by 5 when rolling a single die once?

When rolling a standard six-sided die, the possible outcomes are the numbers 1 through 6. Out of these, only one number, 5, is divisible by 5. Therefore, the probability of rolling a number divisible by 5 is 1 out of 6, or approximately 16.67%.


What is the probability of rolling the sum of 6 with 2 dice?

there is a 1 to 5 probablilty that you will roll the sum of 6 with two dice.


What is the probability of not rolling a sum of 11 with two fair dice?

Since there are two permutations of two dice that sum to 11, (5-6) and (6-5), and since there are 36 permutations of rolling two dice, the probability of not rolling a sum of 11 is 34 in 36, or 17 in 18, or about 0.9444.


What is the probability of rolling a sum of 6 or less with two dice?

The probability is 1, if the dice are rolled often enough.


What is the probability of rolling the sum of 10 with 2 dice?

Well there is 36 different possibilities with rolling 2 6 sided dice. The probability of rolling the sum of 10 with 2 die is 4/36 or 1/8 chance.


What is the probability of not rolling a sum of 7 three times in a row?

Possible outcomes for one cube = 6 .Possible outcomes for 2 cubes = 6 x 6 = 36 .Ways to roll a sum of 7 = 6 ways,1, 6 . . . 2, 5 . . . 3, 46, 1 . . . 5, 2 . . . 4, 3Probability of rolling a 7 on the first roll = 6/36 = 1/6 .Probability of rolling a 7 on the second roll = 6/36 = 1/6 .Probability of rolling a 7 on the third roll = 6/36 = 1/6 .Probability of rolling a sum of 7 three times in a row = (1/6 x 1/6 x 1/6) = (1/6)3 = 1/216 = 0.00463 = 0.463%Probability of not rolling a sum of 7 three times in a row = 1 - (probability of doing it) = 99.537%