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phonetics 35%35\% syntax 25%25\% semantics 30%30\% pragmatic 10%10\% phonetics, syntax 20%20\% phonetics semantics 15%15\% all 44 course 5%5\% how many probability that they enroll at least one course?

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Q. phonetics 35%35\% syntax 25%25\% semantics 30%30\% pragmatic 10%10\% phonetics, syntax 20%20\% phonetics semantics 15%15\% all 44 course 5%5\% how many probability that they enroll at least one course?
  1. Calculate probability of not enrolling: Calculate the probability of not enrolling in any course.\newlineProbability of not taking phonetics =1−0.35=0.65= 1 - 0.35 = 0.65\newlineProbability of not taking syntax =1−0.25=0.75= 1 - 0.25 = 0.75\newlineProbability of not taking semantics =1−0.30=0.70= 1 - 0.30 = 0.70\newlineProbability of not taking pragmatic =1−0.10=0.90= 1 - 0.10 = 0.90\newlineProbability of not taking phonetics and syntax =1−0.20=0.80= 1 - 0.20 = 0.80\newlineProbability of not taking phonetics and semantics =1−0.15=0.85= 1 - 0.15 = 0.85\newlineProbability of not taking all 44 courses =1−0.05=0.95= 1 - 0.05 = 0.95
  2. Combine probabilities for total probability: Combine the probabilities to find the total probability of not enrolling in any course.\newlineTotal probability = 0.65×0.75×0.70×0.90×0.80×0.85×0.950.65 \times 0.75 \times 0.70 \times 0.90 \times 0.80 \times 0.85 \times 0.95

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