SOLUTION: A box contains 2 white balls and 3 black balls. 2 balls are selected at random what is the probability that one is black and one is white. a)balls are chosen with replacement b)B

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Question 455424: A box contains 2 white balls and 3 black balls. 2 balls are selected at random what is the probability that one is black and one is white.
a)balls are chosen with replacement
b)Balls are chosen without replacement

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A box contains 2 white balls and 3 black balls. 2 balls are selected at random what is the probability that one is black and one is white.
a)balls are chosen with replacement
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P(2 black) = (3/5)(3/5) = 9/25
P(2 white) = (2/5)(2/5) = 4/25
P(black/white) = 1 - (13/25) = 12/25
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b)Balls are chosen without replacement
P(2 black) = (3/5)(2/4) = 6/20
P(2 white) = (2/5)(1/4) = 2/20
P(black/white) = 1 - 8/20 = 12/20 = 3/5
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Cheers,
Stan H.