From a survey of 20,000 eligible voters, it was found that 13200 were employed, 5000 were unemployed and the rest were self-employed. Furthermore, it was found that 34%, 57%, 73% of eligible voters who were employed, unemployed and self-employed respectively voted in the last presidential election.  a) If a person who voted in the last election is selected at random, what is the probability that he/she was self-employed? b) What is the probability of an eligible voter not being unemployed given that he/she did not vote in the last election?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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From a survey of 20,000 eligible voters, it was found that 13200 were employed, 5000 were unemployed and the rest were self-employed. Furthermore, it was found that 34%, 57%, 73% of eligible voters who were employed, unemployed and self-employed respectively voted in the last presidential election. 

a) If a person who voted in the last election is selected at random, what is the probability that he/she was self-employed?

b) What is the probability of an eligible voter not being unemployed given that he/she did not vote in the last election?

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