Randomly pick a ball from the urn each time


A urn contains 6 red balls and 4 black balls. Randomly pick a ball from the urn each time. If the ball is red put it back into the urn. If the ball is black, replace it with a red ball. Let X be the number of picks needed to get the fourth black ball. Find E[X].

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Basic Statistics: Randomly pick a ball from the urn each time
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