Question 1. (25 points) During a nancial panic, it is learned that BankA has a 0.4 chance of collapsing in the next month. Independently, Bank B has a 0.3 chance of failing. Bank C, which has heavy deposits in both A and B, has a 0.5 probability of failing if one of eitherA or B collapses and a 0.7 chance if both of them fail. Otherwise, Bank C will stay aoat. a) What is the probability that all three banks survive the panic? b) What is the probability that at least two of the banks go under? c) A customer hears the news about the risks of collapse and immediately transfers his savings from Bank A to Bank C. What is the probability he will have made a good choice with this move