Question

The two numbers rolled can be added to get a sum. Find P(sum is greater than 5).

A. Start Fraction 5 over 6 End Fraction

B. thirteen-eighteenths

C. Start Fraction 5 over 18 End Fraction

D. one-third

Answer 1

8/9

Explanation:

let the number rolled be two dies

When two dice are rolled, the total outcome will be 6² = 36

The pair that gives a sum of 5 are (1,4), (4,1) ,(2, 3), (3, 2). These gives 4 outcomes.

The pair that gives the sum greater than 5 = 36 - 4 = 32

Pr(sum is greater than 5) = Expected/Total outcome

Pr(sum is greater than 5) = 32/36

Pr(sum is greater than 5) = 8/9