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JEE MATHEMATICS MCQ: PROBABILITY

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A bag contains (2  n+1)\left( {2\;n + 1} \right) coins. It is known that nn of these coins have a head on both sides, whereas the remaining n+1n + 1 coins are fair. A coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is 31/42, then nn is equal to
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Correct option: A
10
Option A (10) is correct because solving the probability equation derived from the given conditions yields n = 10.

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