In a large school, it was found that 64% of students are taking a math class, 78% of student are taking an English class, and 56% of students are taking both.

Question

A: Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.

B: Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.

Answer 1

P(math) = 0.64

P(english) = 0.78

P(math and english) = 0.56

P(math or english) = P(math) + P(english) - P(math and english) = 0.64 + 0.78 - 0.56 = 0.86

P(!(math or english)) = 1 - P(math or english) = 1 - 0.86 = 0.14