A set of cards are numbered from 1 to 50. If two cards are selected at random, what is the probability that the numbers in the two cards are odd?

Correct option is A

Given:
The total number of cards is 50. The task is to find the probability that the two selected cards have odd numbers.
Solution:
Since the cards are numbered from 1 to 50, half of them are odd.
Number of cards having odd numbers = 50/2 = 25
Favorable outcomes =$$\binom{25}{2}$$​ = 25 * 24 / 2 = 300
Total outcomes = $$\binom{50}{2}$$​ = 50 * 49 / 2 = 1225
Required probability = 300 / 1225 = 12/49
Thus, the required probability is 12/49.