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CGP EDU Academic Team
Published on: August 14, 2026
A fair coin is tossed (2m + 1) times, then find the probability of getting at least m consecutive heads.
Text Solution
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Sol. If series of at least m heads starts from first throw = 2 m+1 no. of ways.
Similarly if it starts for i th throw (i = 2, 3, ....., m + 2) = 2 m
a case when first m times and last m times are heads have be counted twice.
So total ways are = 2 m+1 + 2 m (m + 1) – 1. Required probability = 
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