In a class of 26 students, 7 play an instrument and 9 play a sport. There are 5 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:
Q. In a class of 26 students, 7 play an instrument and 9 play a sport. There are 5 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:
Identify Total Students: First, we need to identify the total number of students who play an instrument. We are given that 7 students play an instrument.
Find Students Playing Both: Next, we need to find out how many students play both an instrument and a sport. We are given that 5 students play both.
Calculate Probability: To find the probability that a student who plays an instrument also plays a sport, we divide the number of students who do both by the total number of students who play an instrument.Probability = Number of students who play both / Total number of students who play an instrumentProbability = 75
Perform Division: Now we perform the division to find the probability. 5/7≈0.7143
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