Question

Two dice are through to same time and products of the number , apparing on them is noted find probability that the product is prime number

Answer 1

S= (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

n(S)=36

Suppose event A= product is prime no.

A=(1,2),(1,3),(1,5),(2,1),(3,1),(5,1)

n(A)=6

∴P(A)=n(A)/n(S)

        =6/36

         =1/6

(note-curly brackets are not in my keyboard, please add them)