A user has four cell phones, some of them in location A and the others in locati
ID: 3229376 • Letter: A
Question
A user has four cell phones, some of them in location A and the others in location B. The user moves between A and B and takes one of the phones only if he takes a taxi to change his location, but does not take a phone if he takes his car. Let p be the probability that the user takes a taxi.
1. Find the probability that no phone is available to him when he changes location. 1-p
2. For a value of p = 0.6, find the number of phones that would be required for the probability of not having a phone available when the user changes location to be less than 0.1.
Explanation / Answer
1. given p be the probability that the user takes a taxi
therefore 1-p is the probability that the user takes a car
the probability that no phone is available to him when he changes location indicates he travelled by car which equals a probability of 1-p
2. given p = 0.6 , 1-p = 0.4
the number of phones that would be required for the probability of not having a phone available when the user changes location to be less than 0.1 is 4
0.4/0.1 = 4;
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