# 8.8.1. Probability

A survey was conducted to select the most favorable weight of the package of a washing powder. The manufacturing company asked a group of 300 women using their product about their favorite package weight. The following table lists the results:

 Weight (gm) Sum Frequency 300 125 250 375 500 75 72 78 75

What is the probability of randomly selecting a woman who prefers the 500 gm package?

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### Example

A survey was conducted to select the most favorable weight of the package of a washing powder. The manufacturing company asked a group of 300 women using their product about their favorite package weight. The following table lists the results:

 Weight (gm) Sum Frequency 300 125 250 375 500 75 72 78 75

What is the probability of randomly selecting a woman who prefers the 500 gm package?

### 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.

The probability of selecting a women who prefers the gm package is equal to the number of women in the survey who prefer the gm package divided by the total number of women in the survey.

To express the probability as a present, multiply it by 100: .

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