In a class of students, the following data table summarizes how many students passed a test and completed the homework due the day of the test. What is the probability that a student who completed the homework failed the test?Passed the test Failed the testCompleted the homework 20 2Did not complete the homework 3 5
Question
In a class of students, the following data table summarizes how many students passed a test and completed the homework due the day of the test. What is the probability that a student who completed the homework failed the test?Passed the test Failed the testCompleted the homework 20 2Did not complete the homework 3 5
Solution
To find the probability that a student who completed the homework failed the test, we need to follow these steps:
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Identify the total number of students who completed the homework. This is the sum of the students who passed the test and completed the homework and the students who failed the test and completed the homework. From the table, we can see that 20 students passed the test and completed the homework and 2 students failed the test and completed the homework. So, the total number of students who completed the homework is 20 + 2 = 22.
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Identify the number of students who completed the homework and failed the test. From the table, we can see that this is 2.
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The probability that a student who completed the homework failed the test is the number of students who completed the homework and failed the test divided by the total number of students who completed the homework. So, the probability is 2 / 22 = 0.0909 or 9.09%.
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