GATE DA 2024 Q12: Two or more heads and two or more tails in three tosses

Probability and Statistics
1 mark
MCQ
−1/3 if wrong

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 $T \cap S$ ?

Try it: multiple choice: exactly one correct option

Wrong answer costs 1/3 mark in GATE.

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Answer: A (official GATE 2024 final answer key)

Concept used: Mutually exclusive events have an empty intersection.

First step: With only three tosses, at least two heads and at least two tails would need four tosses.

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Source: official GATE 2024 DA question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key

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GATE DA 2024 Q12: Two or more heads and two or more tails in three tosses

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