Two six sided dice are rolled. How do you find the probability that the sum is 3 or 4?

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Two six sided dice are rolled. How do you find the probability that the sum is 3 or 4?

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Answer 1 · 2017-06-19T02:11:16

$7/36$

Explanation:

The possible rolls of two standard fair dice are below:

$((color(white)(0),ul1,ul2,ul3,ul4,ul5,ul6),(1|,2,3,4,5,6,7),(2|,3,4,5,6,7,8),(3|,4,5,6,7,8,9),(4|,5,6,7,8,9,10),(5|,6,7,8,9,10,11),(6|,7,8,9,10,11,12))$

Out of 36 possible rolls, there are two ways to get a 3 and three ways to get a 4, and so we have:

$P("roll of 2 dice sums to 3 or 4")=(3+4)/36=7/36$

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Two six sided dice are rolled. How do you find the probability that the sum is 3 or 4?

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