SOLUTION: A box contains 5 white and 7 black balls.Two successive drawn of 3 balls are made: (a) with replacement (b)without replacement. The probability that the first draw would produce wh
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Question 1047754: A box contains 5 white and 7 black balls.Two successive drawn of 3 balls are made: (a) with replacement (b)without replacement. The probability that the first draw would produce white balls and second draw would produce black balls are respectively Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! Two successive drawn of 3 balls are made:
TOTAL = 12: 5W, 7B
1st draw(a) with replacement
Draw 3
P(3-W) = (5/12)(5/12)(5/12) = 125/1728
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2nd draw(b)without replacement.
Draw 3
P(3-B) = (7/12)(6/11)(5/10) = 210/1320 = 21/132
P(both happening) = (125/1728)(21/132)