OCR S1 Probability Question
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 I go 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?
The probability that I am late for work if I go 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?
Have you tried drawing a tree diagram? 
Posted from TSR Mobile
Posted from TSR Mobile
For A, it should be immediately clear after you draw a tree diagram.
For B, remember that P(A | B) = P(A and B)/P(B)
For B, remember that P(A | B) = P(A and B)/P(B)
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