SOLUTION: Billy takes two marbles, without replacement, from a bag that contains only six yellow marbles and three blue marbles. What is the probability that he gets one marble of each colo

Question 261829: Billy takes two marbles, without replacement,
from a bag that contains only six yellow marbles and three blue marbles. What is the probability that he gets one marble of each color?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Billy takes two marbles, without replacement,from a bag that contains only six yellow marbles and three blue marbles.
What is the probability that he gets one marble of each color?
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P(both the same color) = P(YY) + P(BB)
= 6C2/9C2 + 3C2/9C2 = {15 + 3)/36 = 1/2
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P(one Y and one B) = 1-1/2 = 1/2
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Cheers,
Stan H.

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