A standard die is rolled. Find the probability that the number rolled is less than 3. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Solution

Solution

\frac{1}{3}

Solution steps

The possible outcomes when \mathrm{a die is rolled} is

{1, 2, 3, 4, 5, 6} .

Therefore, the number of possible outcomes:

6

The number of favorable outcomes of \mathrm{the number rolled is less than 3}:

2

Probability

= \frac{number of favorable outcomes}{total number of outcomes}

= \frac{2}{6}

Cancel the common factor:

2

= \frac{1}{3}

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