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A box contains 4 red chips and 2 black chips. If 2 chips are randomly
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05 May 2022, 06:18
05 May 2022, 06:18
Expert Reply
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Question Stats:
77% (01:09) correct
22% (00:53) wrong based on 18 sessions
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A box contains 4 red chips and 2 black chips. If 2 chips are randomly selected without replacement, what is the probability the two selected chips are different colors?
(A) 4/15
(B) 1/3
(C) 2/5
(D) 8/15
(E) 2/3
(A) 4/15
(B) 1/3
(C) 2/5
(D) 8/15
(E) 2/3
Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
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Re: A box contains 4 red chips and 2 black chips. If 2 chips are randomly
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07 May 2022, 05:16
07 May 2022, 05:16
1
Carcass wrote:
A box contains 4 red chips and 2 black chips. If 2 chips are randomly selected without replacement, what is the probability the two selected chips are different colors?
(A) 4/15
(B) 1/3
(C) 2/5
(D) 8/15
(E) 2/
(A) 4/15
(B) 1/3
(C) 2/5
(D) 8/15
(E) 2/
P(different colors) = P(1st chip is red AND 2nd chip is black OR 1st chip is black AND 2nd chip is red)
= [P(1st chip is red) x P(2nd chip is black)] + [P(1st chip is black) x P(2nd chip is red)]
= [4/6 x 2/5] + [2/6 x 4/5]
= 8/30 + 8/30
= 16/30
= 8/15
Answer: D
Re: A box contains 4 red chips and 2 black chips. If 2 chips are randomly
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13 Aug 2022, 01:03
13 Aug 2022, 01:03
1
Number of ways for selecting 1 red and 1 black chip (different colored chips) = 4C1 * 2C1 = 8
Total number of ways to select 2 chips = 6C2 = 15
Probability of selecting different colored chips = \(8/15\)
Total number of ways to select 2 chips = 6C2 = 15
Probability of selecting different colored chips = \(8/15\)
