Concept: The question tests on Probability

Solution:

We have 200 raffle tickets, of which we have 3 winning numbers.

The man has 2 raffle tickets.

Probability = Favorable Outcomes / Total Outcomes

Total Outcomes = 200C2 = 100 * 199 (Since we are going to choose 2 of the numbers with 2 raffle tickets)

Favorable Outcomes = Winning a prize = Winning with 1 ticket and not winning with the other + Winning with both Tickets

There are 3 winning numbers and 200 - 3 = 197 non winning numbers

Winning with 1 ticket and not winning with the other = 3C1 + 197C1 = 3 * 197 = 591

Winning with both Tickets = 3C2 = 3

Total Favorable Outcomes = 591 + 3 = 594


Probability = Favorable Outcomes / Total Outcomes = 594 / (100 * 199) = 297 / 9950

Option D