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A bag contains 4 green and 6 white balls. Two balls are drawn one by one without replacement.

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A bag contains 4 green and 6 white balls. Two balls are drawn one by one without replacement. If the second ball drawn is white, what is the probability that the first ball drawn is also white ?

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Let E1 : First ball drawn is white,

  E2  =  First ball drawn G green,

A : Second ball drawn is white

The required probability by Bayes' Theorem, 

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