Suppose that a subset of 4 balls will be randomly selected and removed from an urn...

Suppose that a subset of 4 balls will be randomly selected and removed from an urn initially containing 6 blue balls and 6 green balls, and then another subset of 4 balls will be randomly selected and removed from the 8 balls that remain (after the first subset of 4 balls is removed). Letting X be the number of these subsets that contain more blue balls than green balls, give the value of E(X). (Note: This problem may be solved in more than one way. One way to do it is to let Y1 be the number of blue balls in the first subset of size 4 that is selected, and use E(X) = E(E(X|Y1))

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orchestra answered 2 years ago

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