# 11.4.1. Calculating Probability

In a conference, 200 people of different nationalities have participated, and their data is represented by the table below. If an attendee is randomly selected, find the probability that the person chosen is a woman who does NOT speak English and Arabic.

ParticipantArabic SpeakerEnglish SpeakerFrench SpeakerTotal Sum
Men20353590
Women304040110
Sum507575200

• A0.2
• B
0.175
• C0.15
• D0.35

### Example

In a conference, 200 people of different nationalities have participated, and their data is represented by the table below. If an attendee is randomly selected, find the probability that the person chosen is a woman who does NOT speak English and Arabic.

ParticipantArabic SpeakerEnglish SpeakerFrench SpeakerTotal Sum
Men20353590
Women304040110
Sum507575200

### 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 who does not speak English or Arabic. In other words, event is selecting a woman who speaks French. Find the probability of event as follows:

Thus, the probability of selecting a woman who does not speak English or Arabic is 0.2.

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