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.
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.
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
Let w be the event that the ball chosen is white and r the event that ball is red
need an explanation for this answer? contact us directly to get an explanation for this answeri.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