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Popular Word Problems >

A die is rolled twice. Find the probability of getting both odd numbers and the same number on both rolls

Solution

A d i e i s ro ll e d tw i ce . F in d t h e p ro babi l i t y o f g e tt in g b o t h o dd n u mb ers an d t h e s am e n u mb er o n b o t h ro ll s

Solution

\frac{1}{12}

+1

Decimal

0.08333 \dots

Solution steps

The possible outcomes when two dice are rolled are

6 \cdot 6

Therefore, the number of possible outcomes:

6^{2}

Find the number of favorable outcomes of getting both odd numbers and the same number on both rolls:

3

Probability

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

= \frac{3}{6 ^{2}}

\frac{3}{6 ^{2}} = \frac{1}{12}

= \frac{1}{12}

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