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Toys for a boy

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Master | Next Rank: 500 Posts
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by singhsa » Wed Sep 22, 2010 9:03 pm
Some toys include large, middle, and small model with red, yellow, green, or blue color. If numbers of all model-color combinations are the same, for example, number of red large toys is equal to number of green little toys. A boy wants a red-large toy. If his mother select one for him at random, what is the probability that at least one of the color and model will satisfy the boy?

OA - [spoiler]1/2[/spoiler]
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by sgmuthukumar » Wed Sep 22, 2010 9:26 pm
singhsa wrote:Some toys include large, middle, and small model with red, yellow, green, or blue color. If numbers of all model-color combinations are the same, for example, number of red large toys is equal to number of green little toys. A boy wants a red-large toy. If his mother select one for him at random, what is the probability that at least one of the color and model will satisfy the boy?

OA - [spoiler]1/2[/spoiler]
1/12
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by saurabhmahajan » Wed Sep 22, 2010 9:48 pm
total combinations would be 12 (3 sizes * 4 colors)
out of these to satisfy the boy the mother has 6 choices

red-large
red-middle
red-small
large-yellow
large-green
large- blue

therefore the probability will be 6/12 = 1/2
Thanks and regards,
Saurabh Mahajan

I can understand you not winning,but i will not forgive you for not trying.
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