en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

two fair dice are rolled. what is the probability of rolling a sum between 6 and 11 exclusive

Solution

tw o f ai r d i ce a re ro ll e d . w ha t i s t h e p ro babi l i t y o f ro ll in g a s u m b e tw ee n 6 an d 11 e x c l u s i v e

Solution

\frac{1}{2}

+1

Decimal

0.5

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 between 6 and 11 exclusive:

18

Probability

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

= \frac{18}{6 ^{2}}

\frac{18}{6 ^{2}} = \frac{1}{2}

= \frac{1}{2}

Popular Examples

six more than the quotient of a number and 8 is equal to 3 How much money should be invested at 6% compounded quarterly for 15 years so that you have 25000 at the end of the 15 years?19 as binary number Three consecutive odd integers sum to-45. What is the least of the 3 integers?The radius of a circle is 7 m. Find its circumference in terms of pipi.