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Popular >

An ordinary die is thrown. Find the probability that the number obtained is even or greater than 4?

Solution

An ordinary die is thrown. Find the probability that the number obtained is even or greater than 4?

Solution

\frac{2}{3}

Solution steps

Find the probability of the number obtained is even:

\frac{1}{2}

Find the probability of greater than 4:

\frac{1}{3}

Find the probability of the number obtained is even and greater than 4:

\frac{1}{6}

Use the Inclusion-Exclusion formula

P (X \lor Y) = P (X) + P (Y) - P (X \land Y)

= \frac{1}{2} + \frac{1}{3} - \frac{1}{6}

\frac{1}{2} + \frac{1}{3} - \frac{1}{6} = \frac{2}{3}

= \frac{2}{3}

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