P(not A) equals:
AP(A)
B1 − P(A)
CP(A) − 1
D1 + P(A)
Answer & Solution
Correct answer: B. 1 − P(A)
In probability theory, the **Complement Rule** states that the sum of the probability of an event occurring and the probability of that event not occurring is always equal to 1.
Let $P(A)$ be the probability of event $A$ happening, and $P(\text{not } A)$ (also written as $P(A^c)$ or $P(A')$) be the probability of event $A$ not happening.
$$P(A) + P(\text{not } A) = 1$$
To find the formula for $P(\text{not } A)$, we subtract $P(A)$ from both sides of the equation:
$$P(\text{not } A) = 1 - P(A)$$
This means that if you know the chance of something happening, you can find the chance of it *not* happening by subtracting it from the whole (1).
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