An experiment involves tossing a single die. These are some events:
A: Observe a 2
B: Observe an even number
C: Observe a number greater than 2
D: Observe both A and B
E: Observe A or B or both
F: Observe both A and C
a. List the simple events in the sample space.
b. List the simple events in each of the events A through F.
c. What probabilities should you assign to the simple events?
d. Calculate the probabilities of the six events A through F by adding the appropriate simple-event probabilities.