Need help on stastics homework

Question

A Field Poll Survey reported that 64% 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, 79% 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.

Find P(B|C). (Enter your answer to two decimal places.)

Find P(C AND B). (Enter your answer to four decimal places.)

Find P(C OR B). (Enter your answer to four decimal places.)

Answer 1

1) To review, P(B|C) means, in English, "The probability of B given that C is true."

Luckily, the problem gives us this information in the text! It says that "[o]ut of those registered voters who support same-sex marriage (which is C), 79% say the ruling is very or somewhat important to them," so the answer is 0.79.

2) This one is fairly simple. If the proportion of all registered voters in this state that support same-sex marriage is 64%, and the proportion of all registered voters in this state for whom the ruling is "very or somewhat important" is 60%, then you can use combinatorics to multiply both proportions together:

0.64 * 0.6 = 0.3840

3) The problem doesn't say, so I am assuming you want the probability of C or B, but not both.

To do so:

We want to include all instances where either C or B is true, but remove the overlap where C and B are both true.

P(B) = 0.6

P(C) = 0.64

Now, we can use our answer from no. 2, 0.3840.

P(B) + P(C) - 2P(A and B) = 0.6 + 0.64 - 2(0.3840) = 0.4720

Hope this helped!