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nikklg [1K]
2 years ago
7

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 spo

rts.
Find the probability that a student chosen at random isn’t in the drama club or in a sports team.
Mathematics
1 answer:
liq [111]2 years ago
7 0
Let's denote students in D = in the drama club , S<span> = in a sports team </span>
<span>P(D) = 85/330 </span>
<span>P(S) = 200/330 </span>
<span>
P(D and S) = 60/300 </span>
<span>
P(D or S) = P(D) + P(S) - P(D and S)  </span><span>= 85/330 + 200/330 - 60/330 = 15/22 </span>
<span>
P(neither D nor S) = 1- 15/22 </span><span>= 7/22</span>
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