1. Decide if the following events are mutually exclusive.
a. A card is drawn from a standard deck.
A: select a Club
B: select a Jack
b. A card is drawn from a standard deck.
A: select a Heart
B: select a Diamond
c. A student is selected at random.
A: The student is taking a Math course. B: The student is a Business Major.
2. The table below lists the smoking habits of college students.
Non-Smoker Regular Smoker Heavy Smoker
135
187
322
Men
Women
Total
13
21
34
5
9
14
Total
153
217
370
a. If a student is chosen at random, find the probability of getting someone who
is a woman.
b. If a student is chosen at random, find the probability of getting someone who
is a man or a woman.
c. If a student is chosen at random, find the probability of getting someone who
is a man or a nonsmoker.
d. If a student is chosen at random, find the probability of getting someone who
is woman or a heavy smoker.
e. Are the events "woman and heavy smoker" mutually exclusive? Explain.
f. Are the events "woman and heavy smoker" independent? Justify your answer
mathematically.
