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 less 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 their expected loss for insurance. suppose the insurance company cannot tell them apart but expects them to have different values and charges them an average premium of $1850. who is more likely to buy this insurance? will this lead to a profit or a loss for the firm in expectation? group of answer choices samantha; loss nadia; loss both of them; profit samantha; profit