he

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

פּוֹפּוּלָרִי Word Problems >

When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 8

פתרון

Wh e n tw o ba l an ce d d i ce a re ro ll e d, t h ere a re 36 p oss ib l e o u t co m es . F in d t h e p ro babi l i t y t ha t e i t h er d o u b l es a re ro ll e d or t h e s u m o f t h e d i ce i s 8

פתרון

\frac{5}{18}

+1

עשרוני

0.27777 \dots

צעדי פתרון

Find the probability of either doubles are rolled:

\frac{1}{6}

Find the probability of the sum of the dice is 8:

\frac{5}{36}

Find the probability of either doubles are rolled and the sum of the dice is 8:

\frac{1}{36}

Use the Inclusion-Exclusion formula

P (X \lor Y) = P (X) + P (Y) - P (X \land Y)

= \frac{1}{6} + \frac{5}{36} - \frac{1}{36}

\frac{1}{6} + \frac{5}{36} - \frac{1}{36} = \frac{5}{18}

= \frac{5}{18}

דוגמאות פופולריות

5 The product of two consecutive numbers is 72 . Use a quadratic equation to find the two sets of numbers.The radius of a circle is 6 m. Find its circumference in terms of pipi.You deposit 130 in an investment account that earns 3.6% annual interest compounded monthly.What is the balance of the account after 6 years?Three less than four times a certain number is equal to 21. Find the number.eight less than the product of 6 and a number is equal to 9