Question

Here is a table showing all 52 cards in a standard deck.
Face cards
Color Suit Ace Two Three Four Five Six Seven Elght Nine Ten Jack Queen King
Red Hearts AY 2 3 4 5 6 7 8 9 10 JY Qv Ке
Red Diamonds A. 2. 30 . 5. 6.
8. 9. 10. J. Q.
Black Spades A. 2. 34 4 58 68 7 84 9. 10. JA Q К.
Black Clubs At 21 34 46 54 64
84 94 104 JA Q4 К.
40
K.
ささき
A card is drawn at random from a standard deck. That card is not put back in the deck, and a second card is drawn at random from the remaining cards in the
deck.
What is the probability that both of the cards are black?
Do not round your intermediate computations. Round your final answer to four decimal places.
Х
5
?
Check
Save For Later
Submit A
2022 McGraw HS LLC Al Rights Reserved. Terms of Use Privacy Center
hD

Answer 1

Probability helps us to know the chances of an event occurring. The probability of two cards being black without replacement is 24.5%.

What is Probability?

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Given the standard deck has 26 black cards while the total number of cards is 52. Therefore, the probability of two cards being black without replacement is,

Probability = (Probability of the first card is black) × (Probability of the second card being black)

Probability = (26/52) × (25/51)

Probability = 0.245 = 24.5%

Hence, the probability of two cards being black without replacement is 24.5%.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ1