In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class plays an instrument?

Plays an instrument Does not play an instrument
Plays a sport 3 2
Does not play a sport 7 6

3 answers

To find the probability that a student chosen randomly from the class plays an instrument, we need to add up all the students who play an instrument and divide it by the total number of students in the class.

There are a total of 3 + 2 = 5 students who play an instrument.

There are a total of 3 + 2 + 7 + 6 = 18 students in the class.

Therefore, the probability that a student chosen randomly from the class plays an instrument is 5/18 = 0.2778 or 27.78%.
In a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. What is the probability that a student chosen randomly from the class completed the homework?
Passed the test Failed the test
Completed the homework 8 4
Did not complete the homework 2 5
To find the probability that a student chosen randomly from the class completed the homework, we need to look at the number of students who completed the homework and divide it by the total number of students in the class.

There are 8 students who completed the homework.

The total number of students in the class is 8 + 4 + 2 + 5 = 19.

Therefore, the probability that a student chosen randomly from the class completed the homework is 8/19 ≈ 0.421 or 42.1%.
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