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A high school has 35 students who play only stringed instruments,
10 students who play only brass instruments, 5 students who play
both, and 5 students who don't play either. What is the probability
that a randomly selected student at this high school plays a stringed
instrument or a brass instrument?

A high school has 35 students who play only stringed instruments 10 students who play only brass instruments 5 students who play both and 5 students who dont pl class=

Respuesta :

Answer:

[tex]\frac{10}{11}[/tex]

Step-by-step explanation:

Note : the total number of students is 55

___________________________

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

p(A) = 40/55

p(B) = 15/55

[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]

Therefore,

[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]

               [tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]

               [tex]=\frac{50}{55}[/tex]

               [tex]=\frac{10}{11}[/tex]

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