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# A box contains balls that are either yellow, black or brown in color.

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A box contains balls that are either yellow, black or brown in color. [#permalink]
A box contains balls that are either yellow, black or brown in color. One ball is chosen at random from the box. Is the probability that the chosen ball is black greater than 3/4?

I. The probability that the chosen ball is not brown is less than 2/5

II. The probability that the chosen ball is not black is greater than 3/5
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Re: A box contains balls that are either yellow, black or brown in color. [#permalink]
When you're picking just one thing, a probability is just a proportion. The question is just saying:

Are more than 3/4 of the balls black?
1. Less than 2/5 of the balls are not brown
2. More than 3/5 of the balls are not black

From Statement 1, if less than 2/5 are not brown, then less than 2/5 of the balls are either yellow or black, so it is certainly true that less than 2/5 of the balls are black, and Statement 1 is sufficient to give a 'no' answer.

Statement 2 tells us that less than 2/5 of the marbles are black, so it is also sufficient to give a 'no' answer, and the answer is D.
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Re: A box contains balls that are either yellow, black or brown in color. [#permalink]
kiran120680 wrote:
A box contains balls that are either yellow, black or brown in color. One ball is chosen at random from the box. Is the probability that the chosen ball is black greater than 3/4?

I. The probability that the chosen ball is not brown is less than 2/5

II. The probability that the chosen ball is not black is greater than 3/5

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Re: A box contains balls that are either yellow, black or brown in color. [#permalink]
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Re: A box contains balls that are either yellow, black or brown in color. [#permalink]
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