Question

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

Answer 1

`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`