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
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
From a jar containing 4 red and 2 white marbles, Lionel draws two marbles simultaneously and at random. What is the
This topic has expert replies
-
orthodoxparadox
- Junior | Next Rank: 30 Posts
- Posts: 15
- Joined: Sat May 30, 2020 10:48 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
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
