# 11.4.1. Calculating Probability

The table below shows the data of 250 people from various nationalities have attended one of the sound and light shows at the pyramids. If one of them was chosen at random by their access cards to give them a souvenir, then find the probability that the chosen person is an Italian woman.

AttendenceItalianAustralianAmericanTotal
Man154585145
Woman603510105
Total758095250
• A0.24
• B0.42
• C0.06
• D0.18

### Example

The table below shows the data of 250 people from various nationalities have attended one of the sound and light shows at the pyramids. If one of them was chosen at random by their access cards to give them a souvenir, then find the probability that the chosen person is an Italian woman.

AttendenceItalianAustralianAmericanTotal
Man154585145
Woman603510105
Total758095250

### Solution

The probability of event occurring is equal to the number of favorable outcomes divided by the total number of possible outcomes in the sample space, . In this case, event is choosing an Italian woman. Find the probability of event as follows:

Thus, the probability of choosing an Italian woman is 0.24.

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