Question: 10.15 You win a prize in a raffl e. The prize, donated by an airline, consists of three return tickets to a destination in Africa;

10.15 You win a prize in a raffl

e. The prize, donated by an airline, consists of three return tickets to a destination in Africa; Cairo, Dar-es-salaam and Entebbe. The seats you are allocated on the journeys will be either Business or Economy, the only seat types the airline offers, and will be picked at random by the airline. The fl ight to Cairo has 200 seats, 50 of which are Business. The fl ight to Dar-es-salaam has 300 seats, 90 of which are Business. The fl ight to Entebbe has 150 seats, of which 60 are Business. Assuming that if you are allocated a Business seat it is for both the outward and return parts of the journey:

(a) What is the probability that you are allocated a Business seat on none of the journeys?

(b) What is the probability that you are allocated a Business seat on one of the journeys?

(c) What is the probability that you are allocated a Business seat on two or more of the journeys?

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