A survey asked subjects whether they favored or opposed the death penalty for pe

Question

A survey asked subjects whether they favored or opposed the death penalty for persons convicted of murder and whether they favored or opposed a law requiring a person to obtain a permit before he or she could buy a gun. According to the survey results, 79.6% of respondents favored the gun law, 67.8% favored the death penalty for those convicted of murder and 52.7% were in favor of both. What is the probability that a randomly selected respondent was in favor of either the gun law or the death penalty for persons convicted of murder?

Explanation / Answer

P(gun law) = 0.796 , P(death penalty) = 0.678 , P( gun law AND death penalty) = 0.527

We have to calculate P( gun law OR death penalty) = ?

Using formula,

P(A OR B) = P(A) + P(B) - P( A AND B)

P( gun law OR death penalty) = P( gun law) +P(death penalty) -  P( gun law AND death penalty)

= 0.796 + 0.678 - 0.527

= 0.947 (OR 94.7%)

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