turkey-yks 2012 Q22

turkey-yks · Other · lys1-math Combinations & Selection Combinatorial Probability
A bag contains 5 red and 4 white marbles.
When 3 marbles are drawn randomly from this bag at the same time, what is the probability that there are at most 2 marbles of each color?
A) $\frac { 2 } { 3 }$
B) $\frac { 3 } { 4 }$
C) $\frac { 5 } { 6 }$
D) $\frac { 7 } { 8 }$
E) $\frac { 8 } { 9 }$ 
A bag contains 5 red and 4 white marbles.

When 3 marbles are drawn randomly from this bag at the same time, what is the probability that there are at most 2 marbles of each color?

A) $\frac { 2 } { 3 }$\\
B) $\frac { 3 } { 4 }$\\
C) $\frac { 5 } { 6 }$\\
D) $\frac { 7 } { 8 }$\\
E) $\frac { 8 } { 9 }$
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