Concept: The question tests on the application of fundamentals of Probability

Solution:

Probability = Favorable outcomes/Total Outcomes

To find: Probability of selecting 2 boys from A or selecting 2 boys from B

Probability of Selecting Group A or B = 1/2

P(A) = 7C2 / 10C2 = 7 * 6 / 10 * 9 = 7/15

P(B) = 2C2 / 10C2 = 1/45

Therefore P(A) + P(B) = (1/2) * (7/15 + 1/45) = 1/2 * 22/45 = 11/45


Option B