On February 28, 2013, a Field Poll Survey reported that 61% of California registered voters approved of allowing two
people of the same gender to marry and have regular marriage laws apply to them. Among 18 to 39 year olds (California
registered voters), the approval rating was 78%. Six in ten California registered voters said that the upcoming Supreme
Court’s ruling about the constitutionality of California’s Proposition 8 was either very or somewhat important to them. Out
of those CA registered voters who support same-sex marriage, 75% say the ruling is important to them.
In this problem, let:
• C = California registered voters who support same-sex marriage.
• B = California registered voters who say the Supreme Court’s ruling about the constitutionality of California’s
Proposition 8 is very or somewhat important to them
• A = California registered voters who are 18 to 39 years old.
a. Find P(C).
b. Find P(B).
c. Find P(C | A).
d. Find P(B|C).
e. In words, what is C | A?
f. In words, what is B | C?
g. Find P(C ∩ B).
h. In words, what is C ∩ B?
i. Find P(C ∪ B).
j. Are C and B mutually exclusive events? Show why or why not.