SOLUTION: A survey amongst miners revealed that 22% are heavy smokers and 32% are heavy drinkers. Eighteen .18/ percent of the miners admitted to both heavy smoking and heavy drinking. Base

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Question 1068325: A survey amongst miners revealed that 22% are heavy smokers and 32% are heavy drinkers.
Eighteen .18/ percent of the miners admitted to both heavy smoking and heavy drinking. Based on
these results, what is the probability that a randomly selected miner is neither a heavy smoker nor
a heavy drinker?

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
According to the survey, 22% are heavy smokers, and 32% are heavy drinkers, making up 22+32, or 54% of all surveyed. Since 18% do both, then:
54-18=36% of miners are heavy smokers, or heavy drinkers, or both. Thus, 100-36, or 64% of miners surveyed do neither, which is the probability that a randomly selected miner is neither a heavy smoker,nor heavy drinker. ☺☺☺☺