Two numbers are chosen at random from 1,2,3,4,5,6,7,8 at a time. The probability that smaller of the two numbers is less than 4 is

Step-by-step solution

Case I When smaller of the two numbers is 1. Then, total number of cases =1 ^7 C₁=7 Case II When smaller of two numbers is 2 . Then, total number of cases =1 ^6 C₁=6 Case III When smaller of two numbers is 3 . Then, total number of cases =1 ^5 C₁=5 Total favourable cases =7+6+5=18 Total case = ^8 C ₂=28 Required probability = 18 28 = 9 14