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An urn contains one yellow ball and one red ball. A ball is drawn at random;...

An urn contains one yellow ball and one red ball. A ball is drawn at random; if it is yellow, no more ball is drawn. If it is red, then the ball is returned to the urn together with an extra red ball. The procedure is repeated until 4 draws have been made or a yellow ball is drawn; whichever is sooner. Let X be the number of draws. What is E(X)? The answer is 2.083. Can someone please explain it to me?

Math   Statistics-And-Probability   
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