Question

There are 1900 students at Mason High School. 68% play a sport, 12% are in band, and 17% are in student council. If 2% of students play a sport and are in band, what is the probability that a randomly selected student plays sports is also in band? Round your answer to the nearest the tenth percent.

Answer 1

Probability that a randomly selected student plays sport and is in band = 1/50

Explanation:

Total number of students= 1900

Percentage of those that play sport and are in band = 2%

Hence those that play sport and are in band = 2/100 x 1900 = 38 students

Probability that a randomly selected student plays sport and is in band = 38/1900 = 1/50