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Omni-MATH / Michael is playing basketball. He makes 10% of his shots, and gets the ball back after 90% of his missed shots. If he does not get the ball back he stops playing. What is the proba…

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problem

Michael is playing basketball. He makes 10%10 \% of his shots, and gets the ball back after 90%90 \% of his missed shots. If he does not get the ball back he stops playing. What is the probability that Michael eventually makes a shot?
Plain-text mathematical notation (without MathML)
Michael is playing basketball. He makes 10% of his shots, and gets the ball back after 90% of his missed shots. If he does not get the ball back he stops playing. What is the probability that Michael eventually makes a shot?
Original LaTeX notation
Michael is playing basketball. He makes $10 \%$ of his shots, and gets the ball back after $90 \%$ of his missed shots. If he does not get the ball back he stops playing. What is the probability that Michael eventually makes a shot?

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