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Suppose that a particular course is taught by six different instructors, simply named A, B, C,...

Question

Suppose that a particular course is taught by six different instructors, simply named A, B, C,...

Suppose that a particular course is taught by six different instructors, simply named A, B, C, D, E, and F. Billy is planning on taking this course from one of these six instructors. He will select one and only one instructor among A – F. Suppose the likelihood of taking a course from A – F for Billy is .45, .25, .12, .05, .1, and .03, respectively. What is the probability that Billy will take a course from instructor A or C given that instructors B and D have full classes when he registers, which are unavailable to Billy? Determine your answer and explain your thought process.

Answers

instructors B and D have full classes means Billy can choose from A,C,E,F

Old Probability New Probability(old probaility / total)
A 0.45 0.6429
C 0.12 0.1714
E 0.1 0.1429
F 0.03 0.0429

probability that Billy will take a course from instructor A or C = 0.6429 + 0.1714

= 0.8143

Please let me know in case of any doubt.

Thanks in advance!


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