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A few years ago, before restaurants became non-smoking, it seemed really unfair

ID: 3021527 • Letter: A

Question

A few years ago, before restaurants became non-smoking, it seemed really unfair that restaurants only classified a few tables as non-smoking. Since only about 1/3 of the general population of adults smoked (at the time), this seemed really unfair. But was it? Consider a random group of 4 adults that go together to the restaurant. What is the probability that all four people smoke?

A few years ago, before restaurants became non-smoking, it seemed really unfair that restaurants only classified a few tables as non-smoking. Since only about 1/3 of the general population of adults smoked (at the time), this seemed really unfair. But was it? Consider a random group of 4 adults that go together to the restaurant. What is the probability that they will require a smoking table?

Explanation / Answer

P(Smoker) = 1 in 3 i.e 1/3

P(4 smokers together) = 1/3 * 1/3 * 1/3 * 1/3

= 1/81

= 0.0123

= 1.23% chance that they will require a smoking table.

Hope this helps.

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