JEE Advanced 2023 Mathematics question

MathematicsProbabilityJEE Advanced 2023

Consider an experiment of tossing a coin repeatedly until the outcomes of two consecutive tosses are same. If the probability of a random toss resulting in head is , then the probability that the experiment stops with head is

Answer: (B)

Solution

Let , . Let and be the probabilities of finally stopping with heads given that the last toss was H or T respectively. (next H stops with heads, next T moves to

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Question ID VK-034114