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 nine or a red 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 nin e or a re d c a r d .

Solução

\frac{7}{13}

+1

Decimal

0.53846 \dots

Passos da solução

Find the probability of you are dealt a 9:

\frac{1}{13}

Find the probability of a red card:

\frac{1}{2}

Find the probability of you are dealt a 9 and a red card:

\frac{1}{26}

Use the Inclusion-Exclusion formula

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

= \frac{1}{13} + \frac{1}{2} - \frac{1}{26}

\frac{1}{13} + \frac{1}{2} - \frac{1}{26} = \frac{7}{13}

= \frac{7}{13}

Exemplos populares

Five times the sum of a number and 7 is 30. Find the numbers How much would you need to deposit in an account now in ordem to have 4000 in the account in 15 years? Assume the account earns 4% interest compounded monthly.Blanche has recently inherited 8300, into an account that compounds monthly at an annual rate of 4%. How much would Blanche's balance be from Account 2 over 5 years? Round to two decimal places.7000 are invested in a bank account at an interest rate of 4 percent per year.Find the amount in the bank after 9 years if interest is compounded monthly Problem 2. Determine the length of side x . Round your answer to 3 decimal places and include units in your answer.