vi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Phổ biến Word Problems >

You are dealt one card from a 52-card deck. Find the probability that you are dealt an ace or a black card.

Lời Giải

You are dealt one card from a 52-card deck. Find the probability that you are dealt an ace or a black card.

Lời Giải

\frac{7}{13}

+1

Số thập phân

0.53846 \dots

Các bước giải pháp

Find the probability of you are dealt an ace:

\frac{1}{13}

Find the probability of a black card:

\frac{1}{2}

Find the probability of you are dealt an ace and a black 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}

Ví dụ phổ biến

Last week, the price of oranges at the farmer’s market was 1.75 per pound. This week, the price has decreased by 20%. What is the price of oranges this week? Use the double number đường thẳng to find your answer.find three consecutive odd integers whose sum is-66 Lamar deposited 9,651 in an account earning 10% interest compounded annually.To the nearest cent, how much will he have in 4 years?The product of two consecutive integers is 72:Find the integers.Find the balance if 19000 is invested in an account paying 4 % interest compounded monthly for 13 years.