Question

A die is rolled twice. What is the probability of getting either a multiple of 2 on the first roll or a total of 8 for both rolls?

Answer 1

Explanation:

let A=favorable outcomes for getting multiple of 2

they are 21,22,23,24,25,26,

41,42,43,44,45,46,

61,62,63,64,65,66

P(A)=18/36

let B=total of 8

favorable outcomes are 26,35,44,53,62

P(B)=5/36

P(A∩B)=3/36

P(A OR B)=P(A∪B)=P(A)+P(B)-P(A∩B)=18/36+5/36-3/36=20/36=5/9