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Both Nadia and Samantha are applying to insure their car against theft. Nadia lives in a secure neighborhood, where the probability of theft is 10%.

Both Nadia and Samantha are applying to insure their car against theft. Nadia lives in a secure neighborhood, where the probability of theft is 10%. Samantha lives in a lesser secure neighborhood where the probability of theft is 25%. Both Nadia and Samantha own cars worth $10,000, and are willing to pay $100 over expected loss for insurance.

If the insurance company can successfully screen both Nadia and Samantha into appropriate contracts, it would earn

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