Tendulkar is playing a cricket tournament in which each player can play 200 balls and the player who hits maximum sixes wins. Tendulkar hits a six on the first ball, but misses out on the second. After that, the probability that he hits a six is equal the proportion of sixes that he has hit so far. For example, at the third ball, the probability is 1/2. (a)  What is the probability that Tendulkar hits only one six? (b)  What is the probability that Tendulkar hits 100 sixes?

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Tendulkar is playing a cricket tournament in which each player can play 200 balls and the player
who hits maximum sixes wins. Tendulkar hits a six on the first ball, but misses out on the second.
After that, the probability that he hits a six is equal the proportion of sixes that he has hit so far. For
example, at the third ball, the probability is 1/2.
(a)  What is the probability that Tendulkar hits only one six?
(b)  What is the probability that Tendulkar hits 100 sixes?

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