SOLUTION: A bag contains 4 red, 2 white and3 blue balls. If two balls are chosen at rand without replacement, find the probability that the balls are of the same colour.
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-> SOLUTION: A bag contains 4 red, 2 white and3 blue balls. If two balls are chosen at rand without replacement, find the probability that the balls are of the same colour.
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Question 1090293: A bag contains 4 red, 2 white and3 blue balls. If two balls are chosen at rand without replacement, find the probability that the balls are of the same colour. Answer by ikleyn(52855) (Show Source):
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A bag contains 4 red, 2 white and 3 blue balls. If two balls are chosen at random without replacement,
find the probability that the balls are of the same color.
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There are = = = 6 combinations to choose two red balls.
There are = 1 combination to choose two white balls.
There are = = = 3 combinations to choose two blue balls.
Thus there are 6 + 1 + 3 = 10 combinations to choose two balls of the same color.
The entire space of events is = = = = 36 combinations to choose two balls from the bag containing 4 + 2 + 3 = 9 balls.
Therefore, the probability that the balls are of the same color is = .
