SOLUTION: A bowl contains 3 red (R) balls and 7 white (W) balls of exactly the same size and shape. Select balls at random and with replacement so that events of white on the first trial, wh

Question 438027: A bowl contains 3 red (R) balls and 7 white (W) balls of exactly the same size and shape. Select balls at random and with replacement so that events of white on the first trial, white on the second, and so on, can be assumed to be independent. In four trials, make certain asssumptions, and compute the probability of the following ordered sequences:(a) WWRW;(b) RWWW; (c) WWWR; and (d) WRWW.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A bowl contains 3 red (R) balls and 7 white (W) balls of exactly the same size and shape. Select balls at random and with replacement so that events of white on the first trial, white on the second, and so on, can be assumed to be independent. In four trials, make certain assumptions, and compute the probability of the following ordered sequences:
(a) WWRW;(b) RWWW; (c) WWWR; and (d) WRWW.
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Since each has 3W's and 1R the probability
of each of these exclusive events is (3/10)^1*(7/10)^3 = 0.1029
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Cheers,
Stan H.

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