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Given that the probability of an event occurring is 0.87, what is the probability of the event not occurring?
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The probability of an event occurring and the probability of it not occurring must add up to one.
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Probability of 𝐴 plus the probability of 𝐴 dash, its complement, must equal one.
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In our example, the probability of the event occurring, 𝑃 of 𝐴, is equal to 0.87.
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This means that 0.87 plus the probability of the event not occurring equal one.
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Subtracting 0.87 from both sides of the equation gives us an answer that the probability of 𝐴 dash, the probability of the event not occurring, of 0.13.
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If the probability of an event occurring is 0.87, then the probability of it not occurring is 0.13.