In a school of 330 students, 85 of them are in the drama club, 200 of them are in a sports team and 60 students do drama and sports.
Find the probability that a student chosen at random isn't in the drama club
or in a sports team.
You may wish to complete the Venn diagram to help you.
E
Drama
Sports
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7/22

Step-by-step explanation:

From the question given above, the following data were:

Drama n(D) = 25

Sport n(S) = 140

Both drama and sport n(DnS) = 60

Not in drama or sport n(DnS)ᶜ = 105

Total or sample space n(S) = 330

Probability of not in drama or sport P(DnS)ᶜ =?

The probability that the student chosen is not in drama or sport can be obtained as follow:

P(DnS)ᶜ = n(DnS)ᶜ / nS

P(DnS)ᶜ = 105 / 330

Express the above to its lowest terms

P(DnS)ᶜ = 7/22

Therefore, the probability that the student chosen is not in drama or sport is 7/22

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