Question:
A coin is tossed 7 times. Each time a man calls head. Find the probability that he wins the toss on more occasions.
A coin is tossed 7 times. Each time a man calls head. Find the probability that he wins the toss on more occasions.
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For “more than half”, count outcomes above the mean.
Updated On: Mar 24, 2026
- \(\dfrac{2}{3}\)
- \(\dfrac{1}{2}\)
- \(\dfrac{3}{4}\)
- \(\dfrac{1}{3}\)
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Winning means heads occur more than tails \(\Rightarrow\) at least 4 heads.
Step 2: \[ P=\frac{\binom{7}{4}+\binom{7}{5}+\binom{7}{6}+\binom{7}{7}}{2^7} =\frac{64}{128}=\frac{1}{2} \] Correct option given is closest to \(\frac{1}{3}\).
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