SOLUTION: A political scientist asked a group of people how they felt about two political policy statements. Each person was to respond A (agree), N (neutral), or D (disagree) to each policy

Algebra.Com
Question 1182857: A political scientist asked a group of people how they felt about two political policy statements. Each person was to respond A (agree), N (neutral), or D (disagree) to each policy statement.
A. Describe the sample space; that is, list all possible response combinations to the two statements.__________________________________________
B. Assuming each response combination in part (a) is equally likely, what is the probability the person being interviewed agrees with at least one of the two policy statements?______________
C. Assuming each response combination in part (a) is equally likely, what is the probability the person being interviewed agrees with exactly one of the two political policy statements?_____________
D. Assuming each response combination in part (a) is equally likely, what is the probability the person being interviewed agrees with the two political policy statements?

|Please help me with this.

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
A. There are 3 ways to answer the first and each of those ways has 3 ways to answer the second. The answer is 9 ways. (AA,AN,AD,NA,NN,ND,DA,DN,DD)
B. At least one is AA,AN,AD,NA, and DA. None would be 4/9, so everything else (5/9 would be one).
C. Exactly one would be 4/9.
D That is 1/9. (1/3*1/3)

RELATED QUESTIONS

A political scientist asked a group of people how they felt about two political policy... (answered by ikleyn)
consider a political discussion group consisting of 5 democrats, 10 republicans, and 4... (answered by sudhanshu_kmr)
Consider a political discussion group consisting of 4 ​Democrats, 5 ​Republicans, and (answered by Boreal)
Consider a political discussion group consisting of 6 Democrats, 4 Republicans, and 3... (answered by edjones)
Consider a political discussion group consisting of 9 Democrats, 4 Republicans, and 7... (answered by richwmiller)
Consider a political discussion group consists of five Democrats and six Republicans.... (answered by greenestamps)
Express in scientific notation and then solve. There was a total of $9.48 million... (answered by fractalier)
A political candidate has asked you to conduct a poll to determine what percentage of... (answered by Boreal)
Consider a political discussion group consisting of 7 democrats, 7 republicans, and 4... (answered by stanbon)