The table shows the political affiliation of American voters and their position

Question

The table shows the political affiliation of American voters and their position on the death penalty. Death Penalty Favor Oppose Republican 0.25 0.05 Democrat 0.1 0.26 Other 0.24 0.1 What's the probability that a randomly chosen voter favors the death penalty? What's the probability that a randomly chosen voter is neither Republican nor Democrat? A candidate thinks she has a good chance of gaining the votes of anyone who is a Republican or favors the death penalty. What's the probability of that happening?

Explanation / Answer

Ans:

P(favor death penalty)=0.25+0.1+0.24=0.59

P(neither republican nor democrat)=P(Other)=0.24+0.1=0.34

P(republican or favor death penalty)=P(republican)+P(favor death penalty)-P(republican and favor death penalty)

Now,

P(republican)=0.25+0.05=0.3

P(favor death penalty)=0.25+0.1+0.24=0.59

P(republican and favor death penalty)=0.25

Hence,

P(republican or favor death penalty)=0.3+0.59-0.25=0.64

Favor oppose Marginal prob. Republican 0.25 0.05 0.3 Democrat 0.1 0.26 0.36 Other 0.24 0.1 0.34 Marginal prob. 0.59 0.41 1

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