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Q137 (IAS/1997) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Quantitative aptitude topics

When three coins are tossed together, the probability that all coins have the same face up is:

A) 1/3
B) 1/6
C) 1/4
D) 1/8

Result
Your answer: —  ·  Correct: C

Explanation

When three coins are tossed, the total number of possible outcomes is 2³ = 8. The sample space is {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.

For all coins to have the same face up, the outcomes must be either all Heads (HHH) or all Tails (TTT). This gives us 2 favorable outcomes.

The probability is 2/8, which simplifies to 1/4.

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