Find the probability for the experiment of tossing a six-sided die twice.

Question

The sum is even and no more than 8.

Answer 1

possible sums from rolling a die twice are 36.

find number of two die sums that add up to 2, 3, 4, 5, 6, 7 and 8

add up to 2: 1 and 1

add up to 3: 1 and 2; 2 and 1

add up to 4: 2 and 2

add up to 5: 2 and 3; 3 and 2; 1 and 4; 4 and 1

add up to 6: 1 and 5; 5 and 1; 4 and 2; 2 and 4; 3 and 3

add up to 7: 1 and 6; 6 and 1; 2 and 5; 5 and 2; 4 and 3; 3 and 4

add up to 8: 1 and 7; 7 and 1; 2 and 6; 6 and 2; 5 and 3; 3 and 5; 4 and 4

total number of those combinations is: 26

probability 26/36 = 13/18