I travel to work by route A or route B. The (C) probability that I choose route

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I travel to work by route A or route B. The (C) probability that I choose route A is. The probability that I am late for work if I go via route A is and the corresponding probability if I go via route B is }.

(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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