Question: Compute probabilities for the following compound events:
Knowing that your friend Angella studies for her tests only 40 percent of the time, you place an even bet with a third party that Angella will not study for her upcoming test. Later, you just happen to hear that Angella passed the test. Should you retract your bet? Assume that Angella passes nine out of ten tests when she studies, and three out of ten when she does not.