Solve the problem.
-A and B are events in a sample space S such that P(A) = 0.47, P(B) = 0.37, and P(A and B) = 0.07. Use a Venn diagram to find the probability that neither A nor B occurs.
A) 0.09
B) 0.16
C) 0.23
D) 0.93

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Quizplus · Accepted Answer

The probability that neither A nor B occurs is given by 1 - P(A or B). Using the formula P(A or B) = P(A) + P(B) - P(A and B), we find P(A or B) = 0.47 + 0.37 - 0.07 = 0.77. Therefore, the probability that neither A nor B occurs is 1 - 0.77 = 0.23.

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