it

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popolare Word Problems >

A die is rolled twice. Find the probability of getting both odd numbers or the same number on both rolls

Soluzione

A d i e i s ro ll e d tw i ce . F in d t h e p ro babi l i t y o f g e tt in g b o t h o dd n u mb ers or t h e s am e n u mb er o n b o t h ro ll s

Soluzione

\frac{1}{3}

+1

Decimale

0.33333 \dots

Fasi della soluzione

Find the probability of getting both odd numbers:

\frac{1}{4}

Find the probability of the same number on both rolls:

\frac{1}{6}

Find the probability of getting both odd numbers and the same number on both rolls:

\frac{1}{12}

Use the Inclusion-Exclusion formula

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

= \frac{1}{4} + \frac{1}{6} - \frac{1}{12}

\frac{1}{4} + \frac{1}{6} - \frac{1}{12} = \frac{1}{3}

= \frac{1}{3}

Esempi popolari

The sum of 4 consecutive odd integers is 24. What are the integers?five less then double a number the quotient of 37 and the product of a number and 16 Sandeep opened a savings account and deposited 100.00 as principal. The account earns 9% interest, compounded annually. How much interest will he earn after 7 years?The diameter of a circle is 14 ft. Find its circonferenza in terms of pi