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How to find probability?

In a certain city, 14% of the people are business executives, and 16% of the business executives drive Cadillacs. Assuming independent events, what is the probability of choosing a business executive who drives a Cadillac? Round the answer to the nearest hundredth.

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Mitch

Favorite Answer

Easy Question:

Probability = .14 * .16 = 0.0224 or 2.24%.

Good luck in your studies,

~ Mitch ~

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Anonymous
Bayes’ theorem could be used to answer this question.

We know that 14% of people are BEs. Therefore, 86% of people are non-BEs. This means that on average, out of 10000 people, 1400 people will be BEs, while 8600 people are non-BEs.

Of the BEs, 16% of them drive Cadillacs. That means that 84% of BEs do not drive Cadillacs. Therefore, on average, out of 1400 BEs, 224 of them will drive a Cadillac.

The question you are asking is: What is the probability of choosing a person who is both a BE and a Cadillac driver.

Let there be a sample of 10000 people. Then on average there will be around 1400 BEs. Out of these BEs, 224 of them will drive Cadillacs.

Therefore, out of 10,000 people, 224 of them are BEs and Cadillac drivers, so:

224/10000 = 0.0224

So: You have a 2.24% chance of randomly selecting a business executive who drives a Cadillac.

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