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in a math class with 26 students, a test was given the same day that an assignment was due. there were 18 students who passed the test and 19 students who completed the assignment. there were 5 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?
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Step1: Find number of failed students
Total students: 26. Passed students: 18. So failed students = \(26 - 18 = 8\).
Step2: Calculate probability
Probability = \(\frac{\text{Failed students}}{\text{Total students}}=\frac{8}{26}=\frac{4}{13}\approx0.3077\) (or keep as fraction).
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\(\frac{4}{13}\) (or approximately \(0.308\))