13 . show that:
i. P(A∩B∩C)=P(A|B∩C)P(B|C)P(C)
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14.two boxes contain the number of the ball as indicated. a box is chosen randomly and then two balls are
drawn One after the other, from that box
, without Replacement .what is the ....................W B W B
probability that both Of the drawn balls ...............6 4 5 5
have the same color?
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15. 14.two boxes contain the number of the ball as indicated.aball is drawn from box 1 and put in box 2 .a ball
Is then drawn randomly from box 2 .what
Is the probability that the ball drawn is ...............................W B W B
White ? .................................................. .....................m1 m2 m1 m2
In #14, let’s name one box X containing six white balls and four black balls.
Then box Y contains five of each color.
and let denote the first and second balls drawn are white.
Here is what the question asks: .
Because they come from either X or Y we have
But since each box is equally likely the becomes
You can do #15 the same way.