1. What is the sample space for rolling two ordinary dice?

2. Two dice are rolled, what is the odds of rolling a 7 or 11?

3. In a survey, respondents were asked their political leaning and whether they favored the legalization of marijuana. Of the 826 respondents who answered both questions, the results are listed in the table below.

LiberalModerateConservativeLegal12010278Not Legal98222206

Do the following problems: Leave the original fraction as the answer for each problem. Do not reduce. Do not convert to decimals.

(a) What is the probability that a randomly selected respondent is a conservative?

(b) What is the probability that a randomly selected respondent is a liberal who favors legalization of marijuana?

(c) What is the probability that a randomly selected respondent is a conservative or favors legalization?

(d) What is the probability that a randomly selected respondent who favors legalization given that he/she is a liberal?

(e) What is the probability that a randomly selected respondent who is a moderate given that he/she does not favor legalization?

(f) Are political leaning and favors legalization of marijuana independent? MUST SHOW WORK.