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