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# A bag contains only red, or green, or blue tokens. If one token is to

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Math Expert
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A bag contains only red, or green, or blue tokens. If one token is to  [#permalink]

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24 Oct 2018, 05:16
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Difficulty:

15% (low)

Question Stats:

82% (01:04) correct 18% (01:06) wrong based on 74 sessions

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A bag contains only red, or green, or blue tokens. If one token is to be drawn at random, what is the probability that the token will be green?

(1) There are 10 red tokens in the bag.
(2) The probability that the token will be blue is 1/2.

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Re: A bag contains only red, or green, or blue tokens. If one token is to  [#permalink]

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24 Oct 2018, 05:36
Statement 1) The bag has all red balls i.e, there is no green balls. So probability is zero. Sufficient

Statement 2) the bag has 2 blue balls. So probability of ball being green is zero. Sufficient

Option: D

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Re: A bag contains only red, or green, or blue tokens. If one token is to  [#permalink]

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24 Oct 2018, 05:58
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eswarchethu135 wrote:
Statement 1) The bag has all red balls i.e, there is no green balls. So probability is zero. Sufficient

Statement 2) the bag has 2 blue balls. So probability of ball being green is zero. Sufficient

Option: D

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Hi eswarchethu135

Doesn't the question stem say the bag contains only red, or green, or blue?

so the probability we want is green/(red+green+blue)

Statement 1) says there are 10 red so we cannot tell about green or blue? how can we say for sure that all are green?

Statement 2) tells us the probability of blue is 1/2 doesn't that mean blue = red + green? we don't know about red or green?

Combined we get blue = 10 + green

Let's just assume that green is 2 we will get blue as 12 and 12/(10+2+12) = 12/24 = 1/2

If Green = 2 then 2/24 = 1/12

If Green = 5 then 5/30 = 1/6

If Green = 10 then 10/40 = 1/4

So I think the answer is E
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Re: A bag contains only red, or green, or blue tokens. If one token is to  [#permalink]

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24 Oct 2018, 06:10
Hi Salsanousi

If this is the case, the question would say a bag contains red, green or blue balls. But here it is saying bag contains only red, or green, or blue balls. Doesn't that mean the bag contains either all red balls or all green balls or all blue balls? This is my understanding from the question. Let me know if I am wrong!!
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Re: A bag contains only red, or green, or blue tokens. If one token is to  [#permalink]

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24 Oct 2018, 14:42
Bunuel wrote:
A bag contains only red, or green, or blue tokens. If one token is to be drawn at random, what is the probability that the token will be green?

(1) There are 10 red tokens in the bag.
(2) The probability that the token will be blue is 1/2.

Statement (2) shows that the interpretation "all tokens are of the same color" is impossible.
I explain: If it were the case, the probability that one random token will be blue would be zero or one. This violates statement (2).

I guess what Bunuel had in mind is the following: each token in a bag is only red, only green, or only blue. Etc.

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Fabio.
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Re: A bag contains only red, or green, or blue tokens. If one token is to  [#permalink]

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24 Oct 2018, 14:54
Hi Bunuel can you please clear out the doubts raised in the previous posts?

Thanks!

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Re: A bag contains only red, or green, or blue tokens. If one token is to   [#permalink] 24 Oct 2018, 14:54
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