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Police station records show that among females who were kidnapped 80% were kidna

ID: 3159389 • Letter: P

Question

Police station records show that among females who were kidnapped 80% were kidnapped out of greed and 20% were kidnapped due to love affairs. There is 14% chance that a female kidnapped out of greed will be killed by the kidnapper and there is 7% chance that a female kidnapped due to a love affair will be killed by the kidnapper. Miss Kitty was kidnapped and killed. What is the conditional probability that Miss kitty was killed due to a love affair? What is the conditional probability that miss Kitty was killed out of greed?

Explanation / Answer

a) probability that killing due to love affair = percentage kidnapped due to affair * percentage of being killed = 0.20*0.07 = 0.014

b) probability of kiling due to greed =  percentage kidnapped due to greed * percentage of being killed = 0.80*0.14 = 0.112