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In a school of 310 students, 70 of them are in the drama club, 190 of them are in a sports team and 50 students do drama and sports. Find the probability that a student chosen at random isnt in the in tje drama club or the sports team

Respuesta :

The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Let's denote students in D = in the drama club , S = in a sports team

P(D) = 70/310

P(S) = 190/310

P(D and S) = 50/310

P(D or S) = P(D) + P(S) - P(D and S)  

P(D or S) = 70/310  + 190/310  - 50/310

P(D or S) = 210/310 = 21/31

P(neither D nor S) = 1- 21/31

P(neither D nor S) = 10/31

The probability that a student chosen at random isn't in the drama club or the sports team is 10/31.

Learn more about probability here;

https://brainly.com/question/11234923

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