MHT CET 2024 Mathematics question

MathematicsProbabilityMHT CET 2024

One hundred identical coins, each with probability p, of showing up heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, then the value of p is

Answer: (D)

Solution

The number of heads . Given : . Cancel (non-zero since ): . Since , we get

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Question ID VK-096754