In the United States voters can be classified into one of th

In the United States, voters can be classified into one of three mutually exclusive and collectively exhaustive groups: Democrats, Republicans, and Independents. In a large state, 50% of eligible voters are Democrats, 45% of eligible voters are Republicans, and 5% of eligible voters are Independents. The voter turnouts for the last election for the three groups are 40% of Democrats, 55% of Republicans, and 65% of Independents. Given that a person did not vote in the last election, find the probability that the person is a Democrat

Solution

A person did not vote means he belongs to 100-48 = 52% group

Prob ( person is a democrat/he did not vote)

= (100-40)%

= 0.60