given: pair of dice

formula:

A and B throw a pair of dice

we have to find the probability that B throw’s a higher number

total possible outcomes are ⁶C₁⁶C₁

therefore n(S)= 6²=36

let E be the event that A throws 9, and B throws greater than 9

E= {(4,6) (5,5) (5,6) (6,4) (6,5) (6,6)}

n(E)= 6

probability of occurrence of the event is