Ravi is practicing throws for cricket. In his first four throws, he hits the stumps three times (success - 3, failure -1). It is given that, in his subsequent throws, the probability of hitting the stumps is equal to his success rate at that time (because of the confidence :) ).
For example, the probability of hitting the stumps in the 5th throw is 3/4. and if he succeeded in the 5th throw, the probability of hitting the stumps in the 6th throw would be 4/5.
So, what is the probability that, out of 100 throws, he succeeds in exactly 50 throws(including the first four throws)?
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