A bank issues a loan to a borrower in the amount of $10,000. If the borrower has a successful project, he will repay the bank $10,416.66 and if he has an unsuccessful project he will default and repay zero. At what probability of project success will the expected loan repayment to the bank equal the $10,000 that the bank issued?
0.81
0.87
0.91
0.96