A die is rolled. Probability of getting an even number OR a number greater than $4$ is:

A die is rolled. Probability of getting an even number OR a number greater than $4$ is:
  1. $\dfrac{1}{2}$
  2. $\dfrac{2}{3}$
  3. $\dfrac{5}{6}$
  4. $\dfrac{1}{3}$

Solution

Even $= \{2,4,6\}$, $>4 = \{5,6\}$. Union $= \{2,4,5,6\}$. $P = \dfrac{4}{6} = \dfrac{2}{3}$.

Asked in: IMO

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