Question

i) Two dice are rolled simultaneously. Find the probability (a) of event A that the
sum of the digits on the upper faces is a prime number. (b) of event B that the sum
of the digits on the upper faces is a multiple of 5.​

Answer 1

Step-by-step explanation:

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

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

n(A)=15

p(A)=15/36

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

n(B)=7

p(B)=7/36