Multiple choice

Two tickets are drawn from 50 tickets numbered 1 to 50. The probability that their product being even is

  1. 12/49

  2. 2/49

  3. 37/98

  4. 2/7

  5. 37/49

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The product will be even if both or at least one ticket is even numbered. There are 25 even and 25 odd numbered tickets. Number of ways of selecting even numbered tickets = 25C2. Number of ways of selecting one even and one odd numbered ticket is = 25C1 × 25C1. From 50 tickets, 2 tickets can be drawn in 50C2 ways.Therefore, the required probability is = (25C2+25C1 × 25C1)/50C2 = 37/49.