Question

Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 4? A. B. C. D.

Answer 1

The probability that the sum of Michelle's rolls is 4 is 0.083

∴ P(A)=0.083

Explanation:

Given that Michelle is rolling two six-sided dice, numbered one through six.

To find the probability that the sum of her rolls is 4:

∴ n(s)=36

Let P(A) be the probability that the sum of her rolls is 4

Then the possible rolls with sums of 4 can be written as

`A={\{(1,3),(2,2),(3,1)}\}`

n(A)=3

The probability that the sum of her rolls is 4 is given by

`P(A)=(n(A))/(n(s))`

`=(3)/(36)`

`=(1)/(12)`

=0.083

∴ P(A)=0.083

∴ the probability that the sum of Michelle's rolls is 4 is 0.083