15567. Playing With Balls
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IITKWPCN
There are W white balls and B black balls in a bag. A magician is performing tricks by drawing balls from the bag.
In each step, the magician randomly removes any two balls from
the bag. If the drawn balls are of the same color, he will put one white
ball in the bag, otherwise he will put a black ball in it. The two
drawn balls from the bag from the ball are discarded.
He keeps on doing the above tricks until there is only one ball remaining in the bag.
Given W and B, you have to determine the probability that the
color of last ball remaining in the bag is black. You should print the
answer with accuracy of upto 6 decimal digits.
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