Question

you toss two number cubes. the sum of the numbers is greater than 5. what is the probability that you tossed the same number on each cube?

Answer 1

`(2)/(13)`

Explanation:

The question states that the sum is greater than 5 so your entire probability pool is 26, not 36.

*** There are 10 sums that are less than or equal to five:

(1, 2, 2, 3, 3, 3, 4, 4, 4, 4)

Therefore there are 26 sums left.

NEXT, there are only 4 scenarios where the two dice are the same number but equal to a sum greater than five:

(6+6 = 12, 5+5 = 10, 4+4 = 8, 3+3 = 6)

Therefore you write 4/26 which simplifies to:

2/13