. From his past data, it is known that the probability of him coming through car, bus, motorbike and rickshaw are respectively 3/10,1/5,1/10,2/5 The probabilities that he will arrive to his office late are 1/4,1/3,1/12 if he comes by car, bus and motorbike. Interestingly, he will not be late if he comes by rickshaw

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Hamza comes to office located in Islamabad through different modes of transport. From his past data, it
is known that the probability of him coming through car, bus, motorbike and rickshaw are respectively 3/10,1/5,1/10,2/5
The probabilities that he will arrive to his office late are 1/4,1/3,1/12 if he comes by
car, bus and motorbike. Interestingly, he will not be late if he comes by rickshaw. Suppose, he arrives
late on Friday. What is the probability that he came by car?

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