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

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Retired Moderator
Joined: 07 Jun 2014
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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:

93% (00:41) correct 6% (00:46) wrong based on 15 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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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 171

Kudos [?]: 2922 [1] , given: 394

Re: A bag contains 6 black chips numbered 1–6 respectively and 6 [#permalink]  07 Aug 2018, 06:20
1
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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 $$\frac{1}{12}\times\frac{1}{11}=\frac{1}{132}$$.
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Sandy
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Re: A bag contains 6 black chips numbered 1–6 respectively and 6 [#permalink]  04 Oct 2019, 14:32
1/132
Re: A bag contains 6 black chips numbered 1–6 respectively and 6   [#permalink] 04 Oct 2019, 14:32
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