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# Each block in a certain bucket is either red, yellow, or blu

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Each block in a certain bucket is either red, yellow, or blu [#permalink]  19 Jun 2018, 02:11
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Question Stats:

83% (01:12) correct 16% (02:05) wrong based on 12 sessions
Each block in a certain bucket is either red, yellow, or blue. There are half as many red blocks as blue blocks and 3 times as many yellow blocks as red blocks. If a block is withdrawn from the bucket at random, what is the probability that the block is blue?

A. $$\frac{1}{6}$$

B. $$\frac{1}{3}$$

C. $$\frac{1}{2}$$

D. $$\frac{2}{3}$$

E. $$\frac{2}{6}$$
[Reveal] Spoiler: OA

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Re: Each block in a certain bucket is either red, yellow, or blu [#permalink]  19 Jun 2018, 05:52
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KUDOS
Carcass wrote:
Each block in a certain bucket is either red, yellow, or blue. There are half as many red blocks as blue blocks and 3 times as many yellow blocks as red blocks. If a block is withdrawn from the bucket at random, what is the probability that the block is blue?

A. $$\frac{1}{6}$$

B. $$\frac{1}{3}$$

C. $$\frac{1}{2}$$

D. $$\frac{2}{3}$$

E. $$\frac{2}{6}$$

Carcass..let me know my method is correct.

Given that there are half as many red blocks as blue blocks => 2R = B

and 3 times as many yellow blocks as red blocks => Y = 3R

Let's take some number that is divisible by both 2 and 3, here in this let's take B as 12, then R = 6

when R = 6 then Y = 18.

Total = 6+12+18 = 36.

P(B) = Blue / Total => 12/36 => 1/3

B.
Re: Each block in a certain bucket is either red, yellow, or blu   [#permalink] 19 Jun 2018, 05:52
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