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Maths question from FAA exam, 2022 by JKSSB

Three unbiased coins are tossed. What is the probability of getting at most 2 heads ?

Last updated Jun 27, 2026
Correct Answer: Option C — 7/8
Three unbiased (fair) coins are tossed → total number of equally likely outcomes = 2³ = 8.
All possible outcomes:
HHH, HHT, HTH, THH, HTT, THT, TTH, TTT
Number of heads in each:

HHH → 3 heads
HHT, HTH, THH → 2 heads
HTT, THT, TTH → 1 head
TTT → 0 heads

"At most 2 heads" means 0, 1, or 2 heads → everything except the one case of 3 heads (HHH).
So:

Favorable outcomes = 8 − 1 = 7
Probability = 7/8


Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
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JKSSB FAA 2022

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Exam JKSSB
Recruitment FAA
Year 2022
Subject Maths
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