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I travel to work by route A or route B. The probability that I choose route A is 1/4. The probability that I am late

I travel to work by route A or route B. The probability that I choose route A is 1/4.The

probability that I am late for work if via route A is 2/3 and the corresponding probability if I

go via route B is 1/3 .

A. What is the probability that I am late for work on Monday?

B. Given that I am late for work, what is the probability that I went via route B.

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