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CAPE Pure Mathematics Unit 2 · May/June 2013 · Paper 2 · Question 5(c)(i)

A country, X, has three airports (A, B, C). The percentage of travellers that use each of the airports is 45\%, 30\% and 25\% respectively. Given that a traveller has a weapon in his/her possession, the probability of being caught is 0.7, 0.9 and 0.85 for airports A, B, and C respectively. Let D be the event that the traveller is caught, and A, B, C be the event that airport A, B, or C is used respectively. What is the probability that a traveller using an airport in Country X is caught with a weapon?

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