Josh has been given two assignments, assignment A and assignment B. He estimates that the chance of getting a passing grade on assignment A is 60% and the chance of getting a passing grade on assignment B is 50%. If Josh gets a passing grade on assignment A, he figures his chances of getting a passing grade on assignment B increase to 70%.

How likely is it that Josh gets a passing grade on assignment A but not on assignment B?

a. .30

b. .42

c. .18

d. .49

e. .85

Randall Realty has two rental properties available. The agent assesses a 0.6 probability that property A will be rented by the end of the month, and a probability of 0.8 that property B will be rented by the end of the month. She also believes there is a 0.5 probability that both properties will be rented by the end of the month.

What is the probability that property A is rented if property B is rented?

a. .125

b. .625

c. .325

d. .525

e. .475