Question

A university sends a monthly newsletter on health to its employees. One issue included a column...

A university sends a monthly newsletter on health to its employees. One issue included a column called "What Is the Chance?" that said the following.

"Chance that you'll die in a car accident this year: 1 in 75."

There are about 310 million people in a certain country. About 40,000 people die each year from motor vehicle accidents. What is the chance a typical person will die in a motor vehicle accident this year?

Math   Statistics-And-Probability   
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Answer #1

This is a case of empirical probability . The formula for empirical probability is

Probability of an event= number of times the event occurs/ total number of trials .

Here , total number of trials = 310,000,000 ( number of people in a certain country)

number of times the event occurs = 40,000 ( number of people die from motor accidents)

Probability that a typical person will die in a motor vehicle accident = 40,000/310,000,000= 0.000129

Therefore ,

Chance that a typical person will die in a motor vehicle accident = 0.000129

This can also be represented as

Chance that a typical person will die in a motor vehicle accident this year : 1 in 7750

Note : This is calculated as

1/ (40,000/310,000,000) =  310,000,000 /40,000 = 7750 . Thus chance is 1 in 7750

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