Seniors at a certain high school took a survey regarding future plans. All plan

Question

Seniors at a certain high school took a survey regarding future plans. All plan to attend college some time; however, 77% plan to go to college immediately following high school. Of those who plan to attend college immediately following high school, 18% plan to major in Math. Of those who do not plan to attend college immediately following high school, 12% plan to major in Math. What is the probability that a randomly chosen senior does not plan to attend college immediately following high school and plans to major in Math.

Explanation / Answer

Let

C = plans to go to college
M = wants to major in math

Hence,

P(C' n M) = P(C') P(M|C') = (1-0.77)*0.12 = 0.0276 [ANSWER]

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