Of 200 students sampeled in KPU courtyard, 100 say they are taking a math course

Question

Of 200 students sampeled in KPU courtyard, 100 say they are taking a math course (M), 65 say they are taking a statistics course (S) and 34 are taking both. If a student has taken the math course, what is the probability that she has also taken the statistics course? If, in order to answer any of the questions below, you need to find other probabilities, please show them as well Are events M and S independent? Provide evidence for your answer using the information given in the problem. Please also explain what your answer means.

Explanation / Answer

a) P(S | M) = P(S and M) / P(M) = (34/200) / (100/200) = 34/100 = 0.34

b) P(S) = 65/200 = 0.325

Since, P(S | M) is not equal to P(S) , so M and S are not independent events.

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