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Popular Word Problems >

A fair dice is thrown twice.Find the probability that at least one of the numbers obtained is a prime number.

Solution

A f ai r d i ce i s t h ro w n tw i ce . F in d 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 a 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 a prime number

= 1 -

Probability of no 1

= 1 - \frac{25}{36}

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

= \frac{11}{36}

Popular Examples

the difference of two numbers is 3. their sum is 13.find the numbers Find the accumulated amount after 3 years if 3000 is invested at 6%/year compounded continuously.10 is 5% of what number?Find the amount Erica owes at the end of 3 years if 5900 is loaned to her at a rate of 8 % compounded monthly.60% of what number is 42?