Three fair coins are tossed independently. T is the event that two or more tosses result in heads. S is the event that two or more tosses result in tails. What is the probability of the event T intersection S? A. 0 B. 0.5 C. 0.25 D. 1

GATE 2024 · Engineering Mathematics · Independent Events · medium

Answer: P(T intersection S) = 0. Answer: A.

1. List outcomes in T and S: T = {HHH, HHT, HTH, THH} (2 or 3 heads). S = {TTT, HTT, THT, TTH} (2 or 3 tails). T and S share no outcome.
2. Compute P(T intersection S): T intersection S = empty set. P(T intersection S) = 0/8 = 0.