The table below summarizes results from a survey that asked

The table below summarizes results from a survey that asked about political party affiliation and self-described political orientation.(Dem means Democrat and Rep means Republican.) A person is selected randomly from the sample summarized in the table. We want to find the probability that a conservative person is other. Which of the following statements best describes the problem? P(other AND conservative) P(other | conservative) P (conservative | other) None of these

Solution

Answer: B

We want to find the probability that a conservative person is \"other\". That means if we come across a conservative person then what is the probability that he is also a conservative.

This statement can be represented as:

P(other, given a person is conservative) = P(other | conservative)