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A cadiadate has to reach the examination centre in time, Probality of him going by bus or scooter or by other means of transport are `(3)/(10),(1)/(10) ,(3)/(5)` respectively. The probability of getting late , if the travels by bus is 1/4 ,1/3 if he travells by scooter and 0 for any other medium. But he reaches in time if the uses any mode of transport . He reached late at the centre. The probability that he travelled by bus is -A. `(1)/(9)`B. `(2)/(13)`C. `(9)/(13)`D. None of these |
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Answer» Correct Answer - C Let A, B, C be the events of candidate going by bus, scooter and other means of transport, Let E be the event of getting late. `P(A)=(3)/(10),P(B)=(1)/(10),P(C)=(3)/(5)` `p((E)/(A)) =(1)/(4),P((E)/(B))=(1)/(3),P((E)/(C))=0` `underset(P("he travelled bus"))(P((A)/(E)))` `=(P(A)P((E)/(A)))/(P(A).P((E)/(A))+P(B).P((E)/(A))+P(C).P((E)/(C)))=(9)/(13)` |
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