de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Word Problems >

Example: A card is drawn at random from a standard deck of 52 cards What is the probability of drawing an ace, a 10, or a King?"

Lösung

E x am pl e : A c a r d i s d r a w n a t r an d o m f ro m a s t an d a r d d ec k o f 52 c a r d s Wha t i s t h e p ro babi l i t y o f d r a w in g an a ce, a 10, or a K in g ? "

Lösung

\frac{3}{13}

+1

Dezimale

0.23076 \dots

Schritte zur Lösung

Find the probability of drawing an ace:

\frac{1}{13}

Find the probability of a 10:

\frac{1}{13}

Find the probability of a king:

\frac{1}{13}

Since the events are disjoint, Use the formula

P (X_{1} \lor X_{2} \lor \dots \lor X_{k}) = P (X_{1}) + P (X_{2}) + \dots + P (X_{k})

= \frac{1}{13} + \frac{1}{13} + \frac{1}{13}

\frac{1}{13} + \frac{1}{13} + \frac{1}{13} = \frac{3}{13}

= \frac{3}{13}

Beliebte Beispiele

the differenz between a number and 25 The sum of the number, 8, and 7 is 28. Find the number The sum of two numbers is 60. One number is 4 times large as the other. What are the numbers?In 2 years, Vijay wants to buy a bicycle that costs 500.00. If he opens a savings account that earns 8% interest compounded monthly, how much will he have to deposit as principal to have enough money in 2 years to buy the bike?85% of what number is 102