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. ​ Suppose the insurance company cannot tell them apart but expects them to be different values and charges them an average premium of $1850. How much profit would it make?