The probability of happening of an eventA is 0.43 and that ofB is 0.31. IfA andB are mutuallyexclusive events, then the probability of neitherA norB occurring is
Question
The probability of happening of an eventA is 0.43 and that ofB is 0.31. IfA andB are mutuallyexclusive events, then the probability of neitherA norB occurring is
Solution
The probability of either event A or event B occurring is the sum of their individual probabilities. This is because A and B are mutually exclusive events, meaning they cannot both occur at the same time.
So, the probability of either A or B is 0.43 + 0.31 = 0.74.
The probability of neither A nor B occurring is the complement of the probability of either A or B. In other words, it's 1 (the total probability of all possible outcomes) minus the probability of either A or B.
So, the probability of neither A nor B is 1 - 0.74 = 0.26.
Similar Questions
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