A taxicab driver moves between the airport A and two hotels B and C according to the following rules. If he is at the airport, he will be at one of the two hotels next with equal probability. If at a hotel then he returns to the airport with probability or goes to the other hotel with probability . Suppose the driver begins at the airport at time 0. Find the probability for each of his possible locations at time 2 and the probability he is at hotel B at time 3.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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A taxicab driver moves between the airport A and two hotels B and C according to the
following rules. If he is at the airport, he will be at one of the two hotels next with equal
probability. If at a hotel then he returns to the airport with probability or goes to the other hotel
with probability . Suppose the driver begins at the airport at time 0. Find the probability for
each of his possible locations at time 2 and the probability he is at hotel B at time 3.
Transcribed Image Text:A taxicab driver moves between the airport A and two hotels B and C according to the following rules. If he is at the airport, he will be at one of the two hotels next with equal probability. If at a hotel then he returns to the airport with probability or goes to the other hotel with probability . Suppose the driver begins at the airport at time 0. Find the probability for each of his possible locations at time 2 and the probability he is at hotel B at time 3.
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