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Old 2009 November 1st, 04:48 PM   #1 (permalink)
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Question probability

A bag contains 7 white and 9 black balls. if 2 balls drawn at random, what are the chances of 1 white and 1 black?

(7C1 * 9C1) / 16C2

OR

2*(7C1 * 9C1) / 16C2
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Old 2009 November 2nd, 01:26 AM   #2 (permalink)
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Quote:
Originally Posted by aras82 View Post
A bag contains 7 white and 9 black balls. if 2 balls drawn at random, what are the chances of 1 white and 1 black?

(7C1 * 9C1) / 16C2
OR
2*(7C1 * 9C1) / 16C2
Note: I'm assuming the balls are drawn without replacement here
P(1 black and 1 white) = P(1st ball is black & 2nd is white OR 1st ball is white & 2nd is black)
= P(1st ball is black & 2nd is white) + P(1st ball is white & 2nd is black)
= (9/16 x 7/15) + (7/16 x 9/15)
= 126/240
= 21/40
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