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D01-36

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Bunuel
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D01-36 [#permalink] New post   16 Sep 2014, 00:13
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A jar contains \(B\) blue balls, \(6B + 10\) yellow balls, and \(2B+5\) green balls only. If a ball is randomly selected from the jar, what is the probability of picking a blue or green ball?

A. \(\frac{1}{5}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{3}\)
D. \(\frac{1}{2}\)
E. \(\frac{2}{3}\)
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C
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Bunuel
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Re D01-36 [#permalink] New post   16 Sep 2014, 00:13
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Official Solution:

A jar contains \(B\) blue balls, \(6B + 10\) yellow balls, and \(2B+5\) green balls only. If a ball is randomly selected from the jar, what is the probability of picking a blue or green ball?

A. \(\frac{1}{5}\)
B. \(\frac{1}{4}\)
C. \(\frac{1}{3}\)
D. \(\frac{1}{2}\)
E. \(\frac{2}{3}\)


The total number of balls in the jar is \(B + (6B + 10) + (2B + 5) = 9B + 15\).

The total number of blue or green balls in the jar is \(B + (2B + 5) = 3B + 5\).

The probability of picking a blue or green ball is given by \(\frac{3B + 5}{9B + 15} = \frac{3B + 5}{3(3B + 5)} = \frac{1}{3}\).


Answer: C
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whitehalo
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Re: D01-36 [#permalink] New post   30 Jun 2016, 15:14
hi EMPOWERgmatRichC ,

can you show how to apply the 'Test It' method to this question? thanks a lot
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Re: D01-36 [#permalink] New post   10 Jul 2016, 04:37
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whitehalo wrote:
hi EMPOWERgmatRichC ,

can you show how to apply the 'Test It' method to this question? thanks a lot



Hi,

As Probability is ratio between two things so we can plug-in number to make it easy.
Put B=1

We have 1 blue, 16 Yellow, 7 green, total balls= 24

We need prob. of choosing blue or green

Prob of choosing blue = 1/24

Prob of choosing green = 7/24

Prob of choosing Blue ORGreen= 1/24 +7/24 = 8/24 =1/3

Answer is C

I hope it helps
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Re: D01-36 [#permalink] New post   13 Apr 2023, 03:08
Expert Reply
I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
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Re D01-36 [#permalink] New post   09 Aug 2023, 10:34
I think this is a high-quality question and I agree with explanation.
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Re D01-36 [#permalink]
09 Aug 2023, 10:34
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Bunuel
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