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From a jar containing 4 red and 2 white marbles, Lionel draws two marbles simultaneously and at random. What is the

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by Vincen » Sat May 30, 2020 1:47 pm

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From a jar containing 4 red and 2 white marbles, Lionel draws two marbles simultaneously and at random. What is the probability that he picks one marble of each color?

A. 3/5
B. 8/15
C. 7/15
D. 2/5
E. 7/30

[spoiler]OA=B[/spoiler]

Source: Veritas Prep
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Re: From a jar containing 4 red and 2 white marbles, Lionel draws two marbles simultaneously and at random. What is the

by orthodoxparadox » Sat May 30, 2020 11:45 pm
Let ways of choosing a white marble and a red marble be w
Let total ways of choosing 2 marbles be W

So, the Probability of choosing a white a red marble = \(\frac{w}{W}\)

w = \(\left(4\ choose\ 1\right)\ \cdot\ \left(2\ choose\ 1\right)\) = 8

W = \(\left(6\ choose\ 2\right)\) = 15

So answer is \(\frac{8}{15}\) B
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