A Box Contains 4 Red and 2 Blue Chips
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Joined: 22 Jun 2019
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A box contains 4 red chips and 2 blue chips. If two chips ar [#permalink] 
04 Feb 2020, 10:31
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Question Stats:
86% (01:19) correct 13% (01:19) wrong based on 23 sessions
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A box contains 4 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
[A] \(\frac{ 1}{2}\)
[b] \(\frac{ 8}{15}\)
[C] \(\frac{ 7}{12}\)
[D] \(\frac{ 2}{3}\)
[E] \(\frac{ 7}{10}\)
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Re: A box contains 4 red chips and 2 blue chips. If two chips ar [#permalink] 05 Feb 2020, 06:48
huda wrote:
A box contains 4 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
[A] \(\frac{ 1}{2}\)
\(\frac{ 8}{15}\) [C] \(\frac{ 7}{12}\) [D] \(\frac{ 2}{3}\) [E] \(\frac{ 7}{10}\)
P(different colors) = P(1st chip is red [b]and 2nd chip is blue OR 1st chip is blue and 2nd chip is red)
= P(1st chip is red and 2nd chip is blue) + P(1st chip is blue and 2nd chip is red)
= P(1st chip is red) x P(2nd chip is blue) + P(1st chip is blue) 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: B
Cheers,
Brent
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Brent Hanneson - founder of Greenlight Test Prep
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