SOLUTION: A bag contains 1 green marble, 2 white marbles, 3 red marbles, 4 blue marbles, and 5 black marbles. Five marbles are drawn and then replaced each time. Determine the probability of

Question 761525: A bag contains 1 green marble, 2 white marbles, 3 red marbles, 4 blue marbles, and 5 black marbles. Five marbles are drawn and then replaced each time. Determine the probability of drawing five black marbles in a row. State whether the events are dependent or independent.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A bag contains 1 green marble, 2 white marbles, 3 red marbles, 4 blue marbles, and 5 black marbles. Five marbles are drawn and then replaced each time. Determine the probability of drawing five black marbles in a row. State whether the events are dependent or independent.
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Because you are replacing after each draw, the results are independent.
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Binomial Problem with n = 5 and P(black) = 5/15 = 1/3
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P(5black) = (1/3)^5 = 1/243
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Cheers,
Stan H.
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