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A bag contains 6 black chips numbered 1–6 respectively and 6

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GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1622 [0], given: 385

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A bag contains 6 black chips numbered 1–6 respectively and 6 [#permalink] New post 05 Aug 2018, 14:27
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Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 2 sessions
A bag contains 6 black chips numbered 1–6 respectively and 6 white chips numbered 1–6 respectively. If Pavel reaches into the bag of 12 chips and removes 2 chips, one after the other,
without replacing them, what is the probability that he will pick black chip #3 and then white chip #3?

Give your answer as a fraction.

[Reveal] Spoiler: OA
\(\frac{1}{132}\)

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4720
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1622 [0], given: 385

CAT Tests
Re: A bag contains 6 black chips numbered 1–6 respectively and 6 [#permalink] New post 07 Aug 2018, 06:20
Expert's post
Explantion

The probability of picking black chip #3 is \(\frac{1}{12}\). Once Pavel has removed the first chip, only 11 chips remain, so the probability of picking white chip #3 is \(\frac{1}{11}\). Multiply \(\frac{1}{12}\times\frac{1}{11}=\frac{1}{132}\).
_________________

Sandy
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Re: A bag contains 6 black chips numbered 1–6 respectively and 6   [#permalink] 07 Aug 2018, 06:20
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A bag contains 6 black chips numbered 1–6 respectively and 6

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