# 8.8.1. Probability

A life insurance company studied a sample of 4 000 men between the ages of 50 and 60 years old. Given that it has been found that out of the sample 17 men passed away within a year, determine the probability of a man dying between 50 and 60 years old within a year.

• A
0.00425
• B
0.0425
• C
0.000425
• D
0.017

### Example

A life insurance company studied a sample of 1 000 men between the ages of 40 and 50 years old. Given that it has been found that out of the sample 6 men passed away within a year, determine the probability of a man dying between 40 and 50 years old within a year.

### Solution

The probability of an event is the ratio between the number of outcomes of the event and the number of all possible outcomes in the sample space.

To find the probability of a man dying at an age between 40 and 50 in the span of one year, divide the number of men in the sample who died in the span of one year by the total number of men in the survey.

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