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

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1740 [0], given: 397

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

100% (00:20) correct 0% (00:00) wrong based on 4 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?

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

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4856
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 102

Kudos [?]: 1740 [0], given: 397

Re: A bag contains 6 black chips numbered 1–6 respectively and 6 [#permalink]  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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