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ICllscar has lost his dog in either forest A {with probabilityr pg) or forest B (with probability p5 = 13414). If the dog is alive

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ICllscar has lost his dog in either forest A {with probabilityr pg) or forest B (with probability p5 = 13414). If the dog is alive and not found by nth day of the search, it will die that evening with probability nf(n+2). If the dog is in forest A and Oscar spends the day searching in forest A, he will nd the dog with probability fA. Similarly, if the dog is in forest B and ICllscar searches there, he will nd the dog with probability f3. The dog cannot move from one forest to another, and Oscar can only search one forest per day. Let pi = 0.6, f3 = 0.25 and f5 = 0.15. BONUS: Oscar finally found his dog on the fourth day. If he searched in A for two days and B for two days (not necessarily in that order) what is the probability that he found his dog. alive

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