Consider the chance experiment in which the type of transmission-automatic (A) or manual (M)-is recorded for each of the next two cars purchased from a certain dealer.
a. What is the set of all possible outcomes (the sample space)?
b. Display the possible outcomes in a tree diagram.
c. List the outcomes in each of the following events. Which of these events are simple events?
i. B the event that at least one car has an automatic transmission
ii. C the event that exactly one car has an automatic transmission
iii. D the event that neither car has an automatic transmission
d. What outcomes are in the event B and C? In the event B or C?