SOLUTION: A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random each time and recorded and then replace it for 5 times, what is the

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Question 1103065: A jar contains four white marbles, five red marbles, and six black marbles. If a marble were selected at random each time and recorded and then replace it for 5 times, what is the probability that we have at least one white marble among your selection.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


P(at least one white marble in 5 draws)
= 1 - P(no white marbles in 5 draws)
= 1 - P(every draw is either red or black)

The probability of getting either red or black on each draw is 11/15; the probability of getting red or black on all five draws is (11/15)^5.

So P(at least one white marble in 5 draws) - 1+-+%2811%2F15%29%5E5+=+.7879 (to 4 decimal places).