# 11.4.1. Calculating Probability

The following table represents the data collected from 200 conference attendees of different nationalities:

ParticipantArabic SpeakerEnglish SpeakerFrench SpeakerTotal Sum
Man354545125
Woman20451075
Sum559055200

If a participant is selected at random, find the probability of the selected participant being an Arabic-speaking woman.

• A0.1
• B
0.175
• C
0.225
• D0.45

### Example

The following table represents the data collected from 200 conference attendees of different nationalities:

ParticipantArabic SpeakerEnglish SpeakerFrench SpeakerTotal Sum
Man354545125
Woman20451075
Sum559055200

If a participant is selected at random, find the probability of the selected participant being an Arabic-speaking woman.

### 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 an Arabic-speaking woman. Find the probability of event as follows:

Thus, the probability of selecting an Arabic-speaking woman is 0.1.

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