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Assume that in sample of 200 students, 120 are taking English course, 110 are take a Mathematics course, and 60 are taking both Math and English. Assume student is arbitarily selected from this sample.

a. Determine the probability that student is not taking any Math course?

b. Determine the probability that student is taking English but not Math?

c. Determine the probability that student is taking Math but not English?

d. Determine the probability that student is taking at least one of these two courses?

e. Determine the probability that student is not taking any of these two courses?

f. Determine the probability that student is taking English given that he/she is taking Math?

g. Determine the probability that student is taking Math given that he/she is taking English?

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