Answer:
81.25% probability that a student is on a sports team given that the student plays a musical Instrument
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Playing a musical instrument.
Event B: Being on a sports team.
48% of students play a musical Instrument
This means that [tex]P(A) = 0.48[/tex]
39% of students play a musical Instrument and are on a sports team.
This means that [tex]P(A \cap B) = 0.39[/tex]
What is the probability that a student is on a sports team given that the student plays a musical Instrument?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.39}{0.48} = 0.8125[/tex]
81.25% probability that a student is on a sports team given that the student plays a musical Instrument
answer your answer is 178.75
97.5-(-81.25)
you want to apply the keep change change rule
97.5+81.25 = 178.75 am i right
