Question

Two dice (each bearing numbers 1 to 6) are rolled together. Find the probability that the sum of the numbers on the upper-most faces of two dice is between 5 and 8.

Answer 1

When two dice are rolled, total number of possible outcomes = 36 

Favorable outcomes for the sum of number between 5 and 8 i.e. 6 or 7 are: 

{(1, 5),(1, 6),(2, 4),(2, 5),(3, 3),(3, 4),(4, 2),(4, 3),(5, 1),(5, 2),(6, 1)} 

Number of favorable outcomes = 11 

P(getting a sum of 6 or 7) = `11/36`