Antonia and Byron are both due at the office of Ethan-Davies, Inc. for an important business meeting and both are running late. Antonia calls in and says that it’s only 40% likely that she will get to the meeting on time. Byron says his chances are 20%.
a. Assuming independence, what’s the probability that both make it to the meeting on time?
b. Suppose Byron now gets into the same taxi as Antonia on the way to the meeting. Sticking with Antonia’s original estimate, how likely is it that they both get to the meeting on time?