pt

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

One card is selected at random from a deck of cards. Determine the probability of selecting a card that is less than 4 or a spade.

Solução

O n e c a r d i s se l ec t e d a t r an d o m f ro m a d ec k o f c a r d s . De t er min e t h e p ro babi l i t y o f se l ec t in g a c a r d t ha t i s l ess t han 4 or a s p a d e .

Solução

\frac{19}{52}

+1

Decimal

0.36538 \dots

Passos da solução

Find the probability of selecting a card that is less than 4:

\frac{2}{13}

Find the probability of a spade:

\frac{1}{4}

Find the probability of selecting a card that is less than 4 and a spade:

\frac{1}{26}

Use the Inclusion-Exclusion formula

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

= \frac{2}{13} + \frac{1}{4} - \frac{1}{26}

\frac{2}{13} + \frac{1}{4} - \frac{1}{26} = \frac{19}{52}

= \frac{19}{52}

Exemplos populares

The radius of a circle is 11 m. Find its circunferência in terms of pipi.A circle has a circunferência of 1,017.36 units.What is the radius of the circle?Kathleen puts 300.00 into an account to use for school expenses. The account earns 10% interest, compounded quarterly. How much will be in the account after 10 years?Eight more than the product of a number and 4 is 2 how long will it take R1000 at 10% p.a compounded weekly to double itself