If x is chosen at random from the set 1 , 2 . 3 , 4 and y is chosen at random from the set 5 , 6 , 7 , then the probability that xy will be even is

Step-by-step solution

Given, x is chosen at random from the set 1 , 2 . 3 , 4 , And y is chosen at random from the set 5 , 6 , 7 , Now given that xy will be even, then number of outcomes will be 1 , 6 , 2 , 5 , 2 , 6 , 2 , 7 , 3 , 6 , 4 , 5 , 4 , 6 , 4 , 7 → 8   outcomes Now total sample space will be 4 × 3 = 12 , Now probability will be 8 12 = 2 3