A mortgage holding company has found that 2% of its mortgage holders default on their mortgage and lose the property. Furthermore, 90% of those who default are late on at least two monthly payments over the life of their mortgage as compared to 45% of those who do not default. What is the joint probability that a mortgagee has two or more late monthly payments and does not default on the mortgage?

You know that 2% default on the loan, which means that 98% do not default. You are also told that 45% of the people who do not default are late on at least two payment. Hence out of the total poplution the percentage that do not default but are lete at least twice is 98% * 45%.