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A fair coin is tossed 4 times. What is the probability of obtaining exactly 2 heads?

easy MCQ 1 mark Class 12 · Mathematics · Probability
  1. 1/4
  2. 3/8
  3. 1/2
  4. 5/16
Answer
3/8

The correct answer is 3/8 — Probability = favourable/total = 6/16 = 3/8.

Step-by-step solution

  1. Number of ways to get 2 heads out of 4 tosses is C(4,2)=6.
  2. Total possible outcomes for 4 tosses is 2^4=16.
  3. Probability = favourable/total = 6/16 = 3/8.
Common mistake: Treating the sample space as 4 instead of 2^4, or forgetting to use combinations.

Concept tested: Binomial probability calculation

Published · How this solution was prepared and checked

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