If $P(A) = \dfrac{1}{4}$, then $P(\text{not } A)$ is:

If $P(A) = \dfrac{1}{4}$, then $P(\text{not } A)$ is:
  1. $\dfrac{1}{4}$
  2. $\dfrac{1}{2}$
  3. $\dfrac{3}{4}$
  4. $1$

Solution

$P(\text{not }A) = 1 - P(A) = 1 - \dfrac{1}{4} = \dfrac{3}{4}$.

Asked in: IMO

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