en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

You are dealt one card from a 52-card deck. Find the probability that you are dealt a three or a red card.

Solution

You are dealt one card from a 52-card deck. Find the probability that you are dealt a three or a red card.

Solution

\frac{7}{13}

Solution steps

Find the probability of you are dealt a 3:

\frac{1}{13}

Find the probability of a red card:

\frac{1}{2}

Find the probability of you are dealt a 3 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}

Popular Examples

The sum of an unknown number and 41 is 65 as the unknown number, write this word statement as an equation.Do not solve the equation.Eight minus a number 15 subtracted from the product of a number and 4 is-59 Alfred is four times as old as his brother. Four years from now, he will be twice as old as his:brother. Find their present ages.Including a 6% sales tax, an inn charges \$156.88 per night. Find the inn's nightly cost before tax is added