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June 2023 p51 q7
3040
A children's wildlife magazine is published every Monday. For the next 12 weeks it will include a model animal as a free gift. There are five different models: tiger, leopard, rhinoceros, elephant, and buffalo, each with the same probability of being included in the magazine.
Sahim buys one copy of the magazine every Monday.
(b) Find the probability that Sahim will get more than two leopards in the 12 magazines.
(c) Find the probability that after 5 weeks Sahim has exactly one of each animal.
Solution
(b) The probability of getting a leopard in one magazine is \(p = 0.2\). We need to find the probability of getting more than two leopards in 12 magazines. This is given by: