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: 

less than 6 

Answer 1

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

Favorable outcomes for the sum of numbers less than i.e. 2,3,4,, or 5 are : 

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

Number of favorable outcomes=10 

P(getting a sum of less than 6)= `10/36=5/18`