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In a class of 25 students, 9 play an instrument and 18 play a sport. There are 3
students who do not play an instrument or a sport. What is the probability that a
student who plays an instrument also plays a sport?

Respuesta :

CptLevi

Answer: 0.2592

Step-by-step explanation:

This is conditional probability because the events are dependent on one another. You use multiplication rule 2(for dependent events) to solve this problem. The rule goes as follows: “When two events are dependent, the probability of both occurring is: p(A and B) = p(A) * p(B|A)” So all you would do is plug in. p(Sports and Instruments) = p(sports) * p(instruments)

p(Sports and Instruments) = (18/25) * (9/25) = 162/625 = 0.2592

MrRoyal

The probability that a student who plays an instrument also plays a sport is 0.2592

How to determine the probability?

The given parameters are:

Total = 25

Instrument = 9

Sport= 18

None = 3

The probability that a student plays a sport is:

P(Sport) = 18/25

The probability that a student plays an instrument is:

P(Instrument) = 9/25

The required probability is:

P = 18/25 * 9/25

Evaluate

P = 0.2592

Hence, the probability is 0.2592

Read more about probabiity at:

https://brainly.com/question/251701

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