There are 1000 students in a high school. Among the 1000 students, 250 students

Question

There are 1000 students in a high school. Among the 1000 students, 250 students take AP Statistics, and 300 students take AP French. 100 students take both AP courses. Let S be the event that a randomly selected student takes AP Statistics, and F be the event that a randomly selected student takes AP French. Show all work. Just the answer, without supporting work, will receive no credit.

(a) Provide a written description of the complement event of (S OR F).

(b) What is the probability of complement event of (S OR F)?

Explanation / Answer

a)complement event of (S OR F) is that a radomely selected student has not taken any of AP French and AP Statistics course

b)

here probability of event of (S OR F) =P(S or F) =(250+300-100)/1000 =0.45

therefore probability of complement event of (S OR F) =1-P(S or F) =1-0.45 =0.55

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