SOLUTION: A jar contains red and white buttons in the ratio of 3 to 2. If buttons are replaced, find the probability that if 3 buttons are chosen at random from the jar a) exactly two are r

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Question 1126067: A jar contains red and white buttons in the ratio of 3 to 2. If buttons are replaced, find the probability that if 3 buttons are chosen at random from the jar
a) exactly two are red
b) not more than one is white

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
say there are 5 buttons in the jar, then we have 3 red and 2 white buttons
:
a) P(exactly 2 are red) = (3/5) * (3/5) * (2/5) = 18/125
:
b) P(not more than one is white) = (3/5)^3 + (18/125) = (27/125) + (18/125) = 45/125 = 9/25
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