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Please provide all steps for solving this problem by showing the way how it is derived....

Please provide all steps for solving this problem by showing the way how it is derived.

1. There is a sack that contains x black and y white stones. A person randomly pick a stone from the sack, write down its color, and then put the stone back in the sack. This process is repeated until the person pick either two consecutive black or two consecutive white stones. Given that the process stopped because the person picked two consecutive black stones, what is the probability that the first stone the person picked was black?

Math   Statistics-And-Probability   
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