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What is the probability of both balls having same colour?

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There are two bags.
First contains 7 red and 5 violet balls whereas second contains 7 violet and 5 red balls.
A ball is drawn at random from both the bags.
What is the probability of both balls having same colour?

posted Dec 1, 2020 by Mohammad

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1 Answer

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Chance 1st bag is red = 7/12. Chance 2nd bag is red = 5/12.
Combined chance of 35/144
Chance 1st bag is violet = 5/12. Chance 2nd bag is violet is 7/12.
Combined chance of 35/144.
Chance of both balls having same color is 70/144 = 48.6%

answer Dec 10, 2020 by Jcm

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