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# A box contains only red chips, white chips, and blue chips.

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A box contains only red chips, white chips, and blue chips. [#permalink]

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14 Dec 2012, 05:19
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25% (medium)

Question Stats:

64% (00:36) correct 36% (00:45) wrong based on 1078 sessions

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A box contains only red chips, white chips, and blue chips. If a chip is randomly selected from the box, what is the probability that the chip will be either white or blue?

(1) The probability that the chip will be blue is 1/5.
(2) The probability that the chip will be red is 1/3.
[Reveal] Spoiler: OA

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Re: A box contains only red chips, white chips, and blue chips. [#permalink]

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14 Dec 2012, 05:23
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A box contains only red chips, white chips, and blue chips. If a chip is randomly selected from the box, what is the probability that the chip will be either white or blue?

The probability that the chip will be either white or blue, equals to the probability that the chip will NOT be red, thus P(white or blue)=1-P(red).

(1) The probability that the chip will be blue is 1/5. Not sufficient.

(2) The probability that the chip will be red is 1/3. P(white or blue)=1-P(red)=1-1/3=2/3. Sufficient.

Answer: B.
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Re: A box contains only red chips, white chips, and blue chips. [#permalink]

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14 Dec 2012, 05:35
Walkabout wrote:
A box contains only red chips, white chips, and blue chips. If a chip is randomly selected from the box, what is the probability that the chip will be either white or blue?

(1) The probability that the chip will be blue is 1/5.
(2) The probability that the chip will be red is 1/3.

Too simple

To find : probability of white or blue (which is equivalent to 1-probability of red)

S1 : there is no probability of white -- INSUFF
S2 : red - 1/3
Therefore p(W/B) = $$1-1/3 = 2/3$$
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Re: A box contains only red chips, white chips, and blue chips. [#permalink]

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06 Sep 2014, 16:42
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Re: A box contains only red chips, white chips, and blue chips. [#permalink]

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22 Feb 2016, 17:47
Hello from the GMAT Club BumpBot!

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Re: A box contains only red chips, white chips, and blue chips. [#permalink]

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12 Apr 2017, 08:31
Hello from the GMAT Club BumpBot!

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Re: A box contains only red chips, white chips, and blue chips. [#permalink]

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14 May 2017, 01:54
For those wondering, you could also find this answer another way. The way presented above is the fastest, but, just in case you are wondering, like I was, you could also do the following:

find the value of P(white) by doing:

1 - ( P(B) + P(R) ) = P(W)

Then do:

P(W or B) = P(W) + P(B) - P( W and B)

here P (W and B) is equal to zero, because it is not independent, it is mutually exclusive. (it is mutually exclusive because if you get one red you cannot get one white for example).

so it is simply:

P(W or B) = P(W) + P(B) - 0

Here is the calculation with numbers:

1- ( 1/5 + 1/3) = 7/15 = P(W)

now do: P(W or B) = P(W) + P(B) - 0

7/15 + 1/5 - 0 = 2/3

hope it helps!
I was wondering about this other method when I did the problem.

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Re: A box contains only red chips, white chips, and blue chips. [#permalink]

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25 Jul 2017, 06:46
concept :

For second .

P(R) + P (B) + P (W) = 1

P (W) + P(B) = 1 - P(R)

P(R) IS GIVEN.
so 2 is sufficient.

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Re: A box contains only red chips, white chips, and blue chips.   [#permalink] 25 Jul 2017, 06:46
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# A box contains only red chips, white chips, and blue chips.

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