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Popular Word Problems >

A pair of dice is rolled. Find the probability of rolling a sum not more than 9

Solution

A p ai r o f d i ce i s ro ll e d . F in d t h e p ro babi l i t y o f ro ll in g a s u m n o t m ore t han 9

Solution

\frac{5}{6}

+1

Decimal

0.83333 \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 rolling a sum no more than 9:

30

Probability

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

= \frac{30}{6 ^{2}}

\frac{30}{6 ^{2}} = \frac{5}{6}

= \frac{5}{6}

Popular Examples

the sum of two consecutive even integers is 146 Find the time required for an investment of 5000 dollars to grow to 6800 dollars at an interest rate of 7.5 percent per year, compounded quarterly.The diameter of a circle is 12 kilometers. What is the circumference?Give the exact answer in simplest form. kilometers five times the sum of a number and fifteen is 50 12% of what number is 360