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)
List the outcomes in each of the following events.
(i)
B, the event that at least one car has an automatic transmission
{AA}
{AA, AM, MA}
{AM, MA, MM}
{AM, MA}
{MM}
(ii)
C, the event that exactly one car has an automatic transmission
{AA}
{AA, AM, MA}
{AM, MA, MM}
{AM, MA}
{MM}
(iii)
D, the event that neither car has a manual transmission
{AA}
{AA, AM, MA}
{AM, MA, MM}
{AM, MA}
{MM}
Which of these events are simple events? (Select all that apply.)
B
C
D
(b)
What outcomes are in the event B and C?
{AA}
{AA, AM, MA}
{AM, MA, MM}
{AM, MA}
{MM}
What outcomes are in the event B or C?
{AA}
{AA, AM, MA}
{AM, MA, MM}
{AM, MA}
{MM}