Question

When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the sum is amultiple of 3 or greater than 8. Write the answer as fraction notation in the simplest form.Need this written as a formula and solved please

Answer 1

we know that

total possible outcomes=36

favorable outcomes for multiple of 3 or greater than 8 are

3,6,9,10,11,12

so

to get the sum of 3 -----> 1+2, or 2+1 -----> 2 ways

to get the sum of 6 ----> 1+5, 2+4, 3+3, 4+2, or 5+1 ------> 5 ways

to get the sum of 9 ---> 6+3, 5+4, 4+5, 3+6 -----> 4 ways

to get the sum of 10 ---> 6+4, 5+5, 4+6 ----> 3 ways

to get the sum of 11 ----> 6+5 and 5+6 ----> 2 ways

to get the sum of 12 ---> 6+6 -----> 1 way

therefore

you have (2+5+4+3+2+1)=17

the probability is equal to

P=17/36