You and your friend alternate drawing cards from a standard deck at random with replacement. The game ends when either you draw a red card, or he draws a face card (Jack, Queen, King). You draw first. What is the probability that you win (i.e., you draw a heart before he draws a face card)? You may leave your answer as an infinite sum.

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The Answer of You and your friend alternate drawing cards from a standard deck at random with replacement. The game ends when either you draw a red card, or he draws a face card (Jack, Queen, King). You draw first. What is the probability that you win (i.e., you draw a heart before he draws a face card)? You may leave your answer as an infinite sum.

You and Your Friend Alternate Drawing Cards from a Standard