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JEE Math Practice Question

A player X has a biased coin whose probability of showing heads is p and a player Y has a fair coin. They start playing a game with their own coins and play alternately. The player who throws a head first is a winner. If X starts the game, and the probability of winning the game by both the players is equal, then the value of 'p' is :

  1. A.$${1 \over 5}$$
  2. B.$${1 \over 3}$$
  3. C.$${2 \over 5}$$
  4. D.$${1 \over 4}$$

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