Q:

An Urn contains 5 red balls and 6 white balls, two balls are pulled at random. What is the probability that the first ball is white while the second is red when the pulled with replacement.

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An Urn contains 5 red balls and 6 white balls, two balls are pulled at random. What is the probability that the first ball is white while the second is red when the pulled with replacement.

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Let w be the event that the ball chosen is white and r the event that ball is red
           i.e.             P(w)=6/11         P(r)=5/11
         But the two events are independent, thus:
         P(A⋂B)=P(A)*P(B)
       ∴P(A⋂B)=6/11*5/11=30/121

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