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 color

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Question 317434: 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? Express your answer as a common fraction.
Answer by Edwin McCravy(20054) About Me  (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? Express your answer as a common fraction.

AND implies multiplication and OR implies addition:

P[(Blue 1st AND Yellow 2nd) OR (Yellow 1st AND Blue 2nd)] =
  ( 3/9      ×     6/8    )  + (    6/9     ×    3/8   )  =
                 %283%2F9%29%286%2F8%29%2B%286%2F9%29%283%2F8%29
                 %281%2F3%29%283%2F4%29%2B%282%2F3%29%283%2F8%29
                 %281%2Fcross%283%29%29%28cross%283%29%2F4%29%2B%282%2Fcross%283%29%29%28cross%283%29%2F8%29
                 1%2F4%2B2%2F8
                 1%2F4%2B1%2F4
                 2%2F4
                 1%2F2
Edwin