A basket contains 1 red marble and 3 white marbles. Sample successively and independently with replacement from this basket. Compute the probability that (a) the second red marble occurs on the fourth trial, (b) at most 4 trials are necessary to observe two red marbles, (c) at least 4 trials are necessary to observe two red marbles.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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15. A basket contains 1 red marble and 3 white marbles. Sample successively and
independently with replacement from this basket. Compute the probability that
(a) the second red marble occurs on the fourth trial,
(b) at most 4 trials are necessary to observe two red marbles,
(c) at least 4 trials are necessary to observe two red marbles.
Transcribed Image Text:15. A basket contains 1 red marble and 3 white marbles. Sample successively and independently with replacement from this basket. Compute the probability that (a) the second red marble occurs on the fourth trial, (b) at most 4 trials are necessary to observe two red marbles, (c) at least 4 trials are necessary to observe two red marbles.
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