1. You roll a fair four-sided die twice, with sides numbered 1,2,3 & 4, shaking it well each time before rolling. Let A be the event that your rst role is strictly less than 3 and B be the event that your second role is strictly greater than 3. Then P(A or B,) is closest or equal to:
2. A mortgage holding company has found that 0.07 of its mortgage holders default on their mortgage and lose the property. Furthermore, 0.89 of those who default are late on at least two monthly payments over the life of their mortgage as compared to 0.47 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?