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25 February, 02:20

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.

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  1. 25 February, 02:35
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    Let's denote students in D = in the drama club, S = in a sports team

    P (D) = 85/330

    P (S) = 200/330

    P (D and S) = 60/300

    P (D or S) = P (D) + P (S) - P (D and S) = 85/330 + 200/330 - 60/330 = 15/22

    P (neither D nor S) = 1 - 15/22 = 7/22
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