The probability that a freshman student at this school plays either a sport or a musical instrument is 0.74
Step-by-step explanation:
The addition rules in probability are:
- P(A or B) = P(A) + P(B) ⇒ mutually exclusive (events cannot happen at the same time)
- P(A or B) = P(A) + P(B) - P(A and B) ⇒ non-mutually exclusive (if they have at least one outcome in common)
∵ The probability that a freshman plays a sport is 0.55
∴ P(sport) = 0.55
∵ The probability that a freshman plays a musical instrument is 0.34
∴ P(music) = 0.34
∵ The probability that a freshman plays both a sport and a musical
instrument is 0.15
∴ P(sport and music) = 0.15
To find the probability that freshman student at this school plays either a sport or a musical instrument use the second rule above because it is non-mutually exclusive
∵ P(sport or music) = P(sport) + P(music) - P(sport and music)
∴ P(sport or music) = 0.55 + 0.34 - 0.15
∴ P(sport or music) = 0.74
The probability that a freshman student at this school plays either a sport or a musical instrument is 0.74
Learn more:
You can learn more about the probability in brainly.com/question/9178881
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