To find the probability that a freshman student plays either a sport or a musical instrument, we can use the formula:
P(A or B) = P(A) + P(B) - P(A and B)
Where:
P(A) = probability that a freshman plays a sport = 0.55
P(B) = probability that a freshman plays a musical instrument = 0.34
P(A and B) = probability that a freshman plays both a sport and a musical instrument = 0.15
Plugging in the values:
P(A or B) = 0.55 + 0.34 - 0.15
P(A or B) = 0.89 - 0.15
P(A or B) = 0.74
Therefore, the probability that a freshman student at this school plays either a sport or a musical instrument is 0.74 or 74%.
There are 100 freshman students at a school. The probability that a freshman plays a sport is 0.55. The probability that a freshman plays a musical instrument is 0.34. The probability that a freshman plays both a sport and a musical instrument is 0.15.
What is the probability that a freshman student at this school plays either a sport or a musical instrument?
1 answer