at school there are 8 students who only play violin, 10 students who only play guitar, 3 students who play both, and 12 students who don't play any instrument at all. if a student is randomly selected from this school, what is the probability that they play violin or guitar

Respuesta :

Answer:

[tex]\frac{7}{11}[/tex]

Step-by-step explanation:

[tex]\frac{21}{33}[/tex] simplified would be [tex]\frac{7}{11}[/tex]

The probability that they play violin or guitar is 7/11 .

What is Probability ?

Probability is the likeliness of an event to occur.

It is given that

The number of students who only play violin is 8

The number of students who only play guitar is 10

The number of Students who play both is 3

The number of students who don't play either is 12

Total Students = 8+10+3+12 = 33

Total favorable outcomes (violin or guitar) = 8 + 10 +3

Probability = Total favorable outcomes / Total outcomes

Probability = 21 / 33

Probability = 7/11

Therefore the probability that they play violin or guitar is 7/11 .

To know more about Probability

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