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

Answer:

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

∴ P(A)=0.083  

Step-by-step 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:

$s={\{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}\}$

∴ 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

$P(A)=\frac{n(A)}{n(s)}$

$=\frac{3}{36}$

$=\frac{1}{12}$

=0.083

∴ P(A)=0.083

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