Mathematics

In a math class with 28 students, a test was given the same day that an assignment was due. There were 20 students who passed the test and 19 students who completed the assignment. There were 16 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework?

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  1. draw Venn diagram
    passed test ---- both - did assignment
    20-16=4 -------- 16 -------- 19-16 = 3
    4 + 16 + 3 = 23 who did something useful
    that leaves 28 - 23 = 5 outside your diagram who did nothing
    16 out of the 19 who did the homework passed the test
    so
    16/19 = 0.842
    Doing the homework seems to have helped them pass the test.

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