A box containing four bolts. Two of them, labeled #1 and #2, are 5 mm in diameter, and two of them, labeled #3 and #4 are 7 mm in diameter. Bolts are randomly selected until a 5 mm bolt is obtained. The outcomes are the sequences of bolts that can be selected. So one outcome is 1, and another is 342.
a. List all the possible outcomes.
b. Let A be the event that only one bolt is selected. List the outcomes in A.
c. Lt B be the event that three bolts are selected. List the outcomes in B
d. Let C be the event that bolt #2 is selected. List the outcomes in C.
e. Let D be the event that bolt #4 is not selected. List the outcomes in D.
f. Let E be the event that bolt #1 is selected. Are A and E mutually exclusive? How about B and E, C and E, D and E?