4. A Field Poll Survey reported that 65% of registered voters in a state 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 (registered voters in this state), the approval rating was 73%. Six in ten registered voters in this state said that the upcoming Supreme Court's ruling about the constitutionality of a proposition was either very or somewhat important to them. Out of those registered voters who support same-sex marriage, 75% say the ruling is important to them. In this problem, let the following apply.

?	C= registered voters who support same-sex marriage
?	B= registered voters who say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them
?	A= registered voters who are 18 to 39 years old.

(a)FindP(C). (Enter your answer to two decimal places.) P(C) = ____

(b)FindP(B). (Enter your answer to two decimal places.) P(B) =____

(c)FindP(C|A). (Enter your answer to two decimal places.) P(C|A) =____

(d)FindP(B|C). (Enter your answer to two decimal places.) P(B|C) =_____

(e)In words, what isC|A? a. Registered voters who support same-sex marriage from the group of registered voters who are 18 to 39 years old.

b. Registered voters from the group of people who are 18 to 39 years old.

c. Registered voters from the group of people who support same-sex marriage.

d. Registered voters who are 18 to 39 years old from the group of registered voters who support same-sex marriage.

(f)In words, what isB|C? a. Registered voters from the group of people who support same-sex marriage.

b. Registered voters from the group of people who say the ruling about the constitutionality of the proposition is very or somewhat important to them.

c. Registered voters from the group of people who are 18 to 39 years old.

d. Registered voters who say the ruling about the constitutionality of the proposition is very or somewhat important to them from the group of registered voters who support same-sex marriage.

(g)FindP(CANDB). (Enter your answer to four decimal places.) P(CANDB) = ____

(h)In words, what isCANDB? a. Registered voters who are 18 to 39 years old and support same-sex marriage.

b. Registered voters who are 18 to 39 years old and say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them.

c. Registered voters who support same-sex marriage and who say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them.

d. Registered voters who support same-sex marriage or say the Supreme Court's ruling about the constitutionality of the proposition is very or somewhat important to them.

(i)FindP(CORB). (Enter your answer to four decimal places.) P(CORB) = _____

(j)AreCandBmutually exclusive events? Explain why or why not. a. Yes, becauseP(CANDB) is not equal to zero.

b. Yes, becauseP(CANDB) is equal to zero.

c. No, becauseP(CANDB) is equal to zero.

d. No, becauseP(CANDB) is not equal to zero.

5. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains 38 numbers, and each number is assigned to a color and a range. (Enter your answers as fractions.)

S m 26 2 to 1 2 to 12 to 1 O + Ist Dozen 2nd Dozen 3rd Dozen 1 to 18 EVEN ODD 19 to 36