Mr Wong drives to work every morning. There are two routes for him to choose from. The probability of choosing route A is twice that of route B. Suppose the probabilities 1 4 that there will be traffic congestion on route A and route B are and 9 respectively. i) Find the probability that Mr Wong will come across traffic congestion on a givenmorning. ii) On two successive days, find the probability that Mr Wong comes across traffic congestion on at least one of the two days. iii) If Mr Wong comes across traffic congestion on a partifularmorning, find the probability that he drove to work that day via route A.
Mr Wong drives to work every morning. There are two routes for him to choose from. The probability of choosing route A is twice that of route B. Suppose the probabilities 1 4 that there will be traffic congestion on route A and route B are and 9 respectively. i) Find the probability that Mr Wong will come across traffic congestion on a givenmorning. ii) On two successive days, find the probability that Mr Wong comes across traffic congestion on at least one of the two days. iii) If Mr Wong comes across traffic congestion on a partifularmorning, find the probability that he drove to work that day via route A.
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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Transcribed Image Text:Mr Wong drives to work every morning. There are two routes for him to choose from.
The probability of choosing route A is twice that of route B. Suppose the probabilities
1 4
that there will be traffic congestion on route A and route B are and
9
respectively.
i) Find the probability that Mr Wong will come across traffic congestion on a
givenmorning.
ii) On two successive days, find the probability that Mr Wong comes across traffic
congestion on at least one of the two days.
iii) If Mr Wong comes across traffic congestion on a partifularmorning, find the
probability that he drove to work that day via route A.
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