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Popular Word Problems >

Two fair dice are thrown twice. What is the probability that at least one of the numbers obtained is prime number

Solution

Tw o f ai r d i ce a re t h ro w n tw i ce . Wha t i s t h e p ro babi l i t y t ha t a t l e a s t o n e o f t h e n u mb ers o b t ain e d i s p r im e n u mb er

Solution

\frac{11}{36}

+1

Decimal

0.30555 \dots

Solution steps

Find the probability of no 1:

\frac{25}{36}

Probability of at least 1 of the numbers obtained is prime number

= 1 -

Probability of no 1

= 1 - \frac{25}{36}

1 - \frac{25}{36} = \frac{11}{36}

= \frac{11}{36}

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