The probability of getting a big order currently under negotiation is 0.32. The probability of losing money this quarter is 0.54.
a. Assume that these are mutually exclusive events. Find the probability of getting the order or losing money this quarter.
b. Again assume that these are mutually exclusive events. Does this rule out the possibility that you fail to get the order but nonetheless make money this quarter?
c. Now assume instead that the events "get the order" and "lose money" are independent (since the order will not show up in this quarter's financial statements). Find the probability of getting the order and losing money.
d. Now assume instead that the probability of getting the order and losing money is 0.1. Are the events "get the order" and "lose money" independent? How do you know?