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A die is rolled. What is the probability of rolling a 5 or a number greater than3

Solution

A die is rolled. What is the probability of rolling a 5 or a number greater than3

Solution

\frac{1}{2}

Solution steps

Find the probability of rolling a 5:

\frac{1}{6}

Find the probability of a number greater than 3:

\frac{1}{2}

Find the probability of rolling a 5 and a number greater than 3:

\frac{1}{6}

Use the Inclusion-Exclusion formula

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

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

Add similar elements:

\frac{1}{6} - \frac{1}{6} = 0

= \frac{1}{2}

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