There are 200 students in the 8th grade class at Alleghany Middle School. Of these students, 8% play basketball and 14% play soccer. Six students play on both teams. What is the probability that a student plays either basketball or soccer?

Respuesta :

Answer:

The probability that a student plays either basketball or soccer is 19% or 0.19.

Step-by-step explanation:

Let A be the event that student play basketball and  B be the event that student play soccer.

[tex]P(A)=8\%[/tex]

[tex]P(B)=14\%[/tex]

It is given that 6 students play on both teams.

[tex]P(A\cap B)=\frac{6}{200}\times 100=3\%[/tex]

We have to find the probability that a student plays either basketball or soccer.

[tex]P(A\cup B)=P(A)+P(B)-(A\cap B)[/tex]

[tex]P(A\cup B)=8\%+14\%-3\%[/tex]

[tex]P(A\cup B)=19\%[/tex]

Therefore the probability that a student plays either basketball or soccer is 19% or 0.19.

Answer:

19%

Step-by-step explanation:

just took my final ( A P E X )