Question

A poll was conducted in states A, B, and C to determine which candidate voters would most likely vote for. The results are displayed in the table below:
State A State B State C Total
Liberal 17 20 12 4
Conservative 23 15 13 51
Total 40 35 25 100

Answer 1

What is the probaility that a voter chooses a liberal in state B?

Let us see the total amount of voters in state B. This is equal to 35 according to the graph. Out of them, 20 voted for the liberal candidate. If we randomly pick a person in state B, chances are hence 20/35 that he votes for the liberal candidate. Probability is defined as the ratio of positive outcomes over all possible outcomes. Here, a positive outcome is voting for the liberal candidate and all outcomes are the voters of state B. 20/35 is equal to 5/7 or around 71%.