Marginal Probability in a Contingency Table | ShinStats

Marginal Probability in a Contingency Table | ShinStats
Challenge 1: You surveyed some people and ask two questions: “What is your gender?” and “What is your political party?”
The people surveyed responded that they are either male or female, and that they are either a democrat, republican or independent.
Calculate the following:
a) probability that a respondent is a Democrat or Male
b) probability that a respondent is Female or Independent
c) probability that a respondent is Male or Republican
d) probability that a respondent is Independent or Republican
Challenge 2:
The table below shows the results of a survey that asked whether the person is involved in charity work. The person’s gender was recorded as well as their response: frequently, sometimes, or never.
A person is randomly selected from the sample. Find the probability of each even occurring.
a) probability that a respondent is Male
b) probability that a respondent is Female
c) probability that a respondent is sometimes involved in charity work