pt

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

You are dealt one card from a 52-card deck. Find the probability that you are dealt a spade or a non dash picture card.

Solução

Y o u a re d e a lt o n e c a r d f ro m a ​ 52 - c a r d d ec k . F in d t h e p ro babi l i t y t ha t yo u a re d e a lt a s p a d e or a n o n d a s h p i c t u re c a r d .

Solução

\frac{10}{13}

+1

Decimal

0.76923 \dots

Passos da solução

Find the probability of you are dealt a spade:

\frac{1}{4}

Find the probability of a non dash picture card:

\frac{9}{13}

Find the probability of you are dealt a spade and a non dash picture card:

\frac{9}{52}

Use the Inclusion-Exclusion formula

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

= \frac{1}{4} + \frac{9}{13} - \frac{9}{52}

\frac{1}{4} + \frac{9}{13} - \frac{9}{52} = \frac{10}{13}

= \frac{10}{13}

Exemplos populares

You deposit 2000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years?Alexandra earned some money doing odd jobs last summer and put it in a savings account that earns 10% interest compounded annually. After 3 years, there is 600.00 in the account. How much did Alexandra earn doing odd jobs?six less than the product of 8 and a number is 5 the sum of three consecutive even integers is 486 Two years ago, Jernie was three times as old as his sister, Cecile. In 4 years, he will be only twice his sister's age. Find their present ages.