Iron man before meeting Thanos did an attempt to create Iron avengers (bots which look and has same powers as that of avengers). He was trying to make a bot for Hawkeye and found a mathematical problem. Ever since he was stuck trying to solve it. Could you help him? The bot has 100 arrows. First time he hits the target and the second time, he misses it. For the next following shots, the probability of him hitting the target is equal to the number of times he hit the target before this try divided by the number of arrows he used before this try. Now what is the probability that he hits exactly half the targets.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Iron man before meeting Thanos did an attempt to create Iron avengers (bots which look and has same powers as that of avengers). He was trying to make a bot for Hawkeye and found a mathematical problem. Ever since he was stuck trying to solve it. Could you help him? The bot has 100 arrows. First time he hits the target and the second time, he misses it. For the next following shots, the probability of him hitting the target is equal to the number of times he hit the target before this try divided by
the number of arrows he used before this try. Now what is the probability that he hits exactly half the targets.

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