The dice each numbered from 1 to 6 are thrown together. Let A and B be two events given by A: even number on the first die B: number on the second die is greater than 4 What is P ( A B ) equal to?

Step-by-step solution

aligned & A: even numbers = 2,4,6 & B : number 4= 5,6 A B = 6 aligned aligned P ( A B ) & = 1 6 P ( A ) & = 3 6 = 1 2 aligned aligned P(B) & = 2 6 = 1 3 P(A B) & =P(A)+P(B)-P(A B) aligned aligned & = 1 2 + 1 3 - 1 6 = 3+2-1 6 & = 4 6 = 2 3 . aligned