SOLUTION: Hi Can any one help me out with this prob. There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one

Algebra ->  Probability-and-statistics -> SOLUTION: Hi Can any one help me out with this prob. There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one      Log On


   

Question 121695: Hi Can any one help me out with this prob.
There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one red marble from the bowl after three successive marbles are withdrawn from the bowl?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are three blue marbles, three red marbles , and three yellow marbles in a bowl. What is the probability of selecting exactly one red marble from the bowl after three successive marbles are withdrawn from the bowl?
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P(red) = 3/9 = 1/3
P(not red) = 2/3
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P(exactly one red in three draws) = 3C1(1/3)(2/3)^2 = 3(1/3)(4/9) = 4/9
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Cheers,
Stan H.