# 11.4.1. Calculating Probability

In one of the shows at the pyramids, one of the 250 tourists is chosen randomly to win a prize, and the table below represents the number of tourists of different nationalities. Determine the probability that the chosen tourist is a woman.

AttendenceRussiansGreeksAmericansTotal
Men10204575
Women855040175
Total957085250
• A0.7
• B0.3
• C0.34
• D0.2

### Example

In one of the shows at the pyramids, one of the 250 tourists is chosen randomly to win a prize, and the table below represents the number of tourists of different nationalities. Determine the probability that the chosen tourist is a woman.

AttendenceRussiansGreeksAmericansTotal
Men10204575
Women855040175
Total957085250

### 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 selecting a woman. Find the probability of event as follows:

Thus, the probability of selecting a woman is 0.7.

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