In a math class with 24 students, a test was given the same day that an assignment was due. There were 15 students who passed the test and 19 students who completed the assignment. There were 3 students who failed the test and also did not complete the assignment. What is the probability that a student chosen randomly from the class failed the test?
Question
In a math class with 24 students, a test was given the same day that an assignment was due. There were 15 students who passed the test and 19 students who completed the assignment. There were 3 students who failed the test and also did not complete the assignment. What is the probability that a student chosen randomly from the class failed the test?
Solution
To solve this problem, we first need to find out how many students failed the test.
From the problem, we know that 15 students passed the test. Since there are 24 students in total, the number of students who failed the test is 24 - 15 = 9 students.
The problem also tells us that 3 students both failed the test and did not complete the assignment. However, these students are already included in the 9 students who failed the test.
Therefore, the probability that a student chosen randomly from the class failed the test is the number of students who failed the test divided by the total number of students.
So, the probability is 9/24 = 0.375 or 37.5%.
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