Question

two different dice are tossed together find the probability (1) that the number on each type is even (2) that the sum of numbers appearing on two devices 5

Answer 1

sol:-
let s be the smaller space

if two diced are rolled then n(s)=6²=36

1.be event of getting the number in each die is even then

n(A)={ (2,2),(2,4),(2,6),(4,2),(4,4),(4,6),(6,2),(6,4),(6,6)} =9
P(A)= n(A) / n(S)=9/36=1/4
2.be the event of getting sum of the numbers apperingon two devices 5
n(B)={ (1,4),(2,3),(3,2),(4,1)}=4
P(B)=n(B) / n(S)=4/36 =1/9

Answer 2

P[ Even Number on Both Sides ]= 9/36

=1/4