In the United States, voters can be classified into one of three mutually exclus

Question

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

Explanation / Answer

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

Democrats Republicians Independents Large state 50% 45% 5% Voter turnout 40% 55% 65% Actual voters 20.0% 24.8% 3.3% 48.0%

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