Protestant Catholic Jewish Other Democrat 035 010 003 002 Re

Protestant Catholic Jewish Other
Democrat 0.35 0.10 0.03 0.02
Republican 0.27 0.09 0.02 0.01
Independent 0.05 0.03 0.02 0.01

The table above gives the probabilities of combinations of religion and political parties in a city in the United States. What is the probability that a randomly selected person will be a Protestant and at the same time be a Democrat or a Republican?

Solution

The probability that a randomly selected person will be a Protestant and at the same time be a Democrat or a Republican is:

0.35+0.27=0.62

Both the events are mutually exclusive thus P(A+B)=P(A)+P(B)