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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:

In a class of 2626 students, 77 play an instrument and 99 play a sport. There are 55 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?\newlineAnswer:

Full solution

Q. In a class of 2626 students, 77 play an instrument and 99 play a sport. There are 55 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?\newlineAnswer:
  1. Identify Total Students: First, we need to identify the total number of students who play an instrument. We are given that 77 students play an instrument.
  2. Find Students Playing Both: Next, we need to find out how many students play both an instrument and a sport. We are given that 55 students play both.
  3. 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.\newlineProbability = Number of students who play both / Total number of students who play an instrument\newlineProbability = 57\frac{5}{7}
  4. Perform Division: Now we perform the division to find the probability. 5/70.71435 / 7 \approx 0.7143

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