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In a class of 22 students, 9 play an instrument and 15 play a sport. There are 4 students who play an instrument and also play a sport. What is the probability that a student who plays an instrument also plays a sport?
Answer:

In a class of $22$ students, $9$ play an instrument and $15$ play a sport. There are $4$ students who play an instrument and also play a sport. What is the probability that a student who plays an instrument also plays a sport? $\newline$ Answer:

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Probability of independent and dependent events

Full solution

Q. In a class of

22

students,

9

play an instrument and

15

play a sport. There are

4

students who play an instrument and also play a sport. What is the probability that a student who plays an instrument also plays a sport?

\newline

Answer:

Identify Students Playing Instrument: Identify the total number of students who play an instrument. $\newline$ There are $9$ students who play an instrument.
Identify Students Playing Both: Identify the number of students who play both an instrument and a sport. $\newline$ There are $4$ students who play both an instrument and a sport.
Calculate Probability: Calculate the probability that a student who plays an instrument also plays a sport. $\text{Probability} = \frac{\text{Number of students who play both}}{\text{Total number of students who play an instrument}}$ The probability is $\frac{4}{9}$ .

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