Question about cards of deck

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In summary: *4/36=1/18=3/36=7/36=14/36=29/36=54/36=101/36=211/36=401/36=1011/36=2111/36=4111/36=8111/36=16111/36=32111/36=64111/36=128111/36=256111/36=102411/36=261111/36=51111/36=1021/36=25211/36=40121/36=81112/36=1612/36=3121/36=64122/36=12212/36=9122/36=18122/
  • #1
Alexsandro
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Hello, I tried to model and answer this question, but I didn't get success. Could someone help me ?

You are told that of the four cards face down on the table, two are red and two are black. If you guess all four at random, what is the probability that you get 0, 2, 4 right ?
 
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Please PAY ATTENTION to where you are posting. You want one of the homework subforum, and NOT the Academic and Career Guidance.

Zz.
 
  • #4
There are two possible colors for a card and they are equally likely. Whatever you guess, what is the probability your guess will be correct for a specific card?

What is the probability that all 4 guesses are correct? What is the probability that all 4 guesses are wrong?

The probability that exactly two of your guesses are correct is harder. If you know about "binomial probability", then this is exactly the same as aking for the probability that, if you flip a coin 4 times, it will come up heads exactly twice. Imagine writing "C" for "correct" if you guess a coin correctly, "N" for "not correct" if you guess incorrectly. The difference between this problem and the first two is that if you were guess correctly all 4 times you would write CCCC and there is only one way of doing that, if you were to guess correctly 0 times, you would write NNNN and there is only one way of doing that, but if you guess correctly exactly twice you might have written CCNN, or NNCC, or CNCN, etc. How many different ways are there of writing two C's and two N's?
 
  • #5
You have six possibilities as follow

R,R B,B
R,B,B,R
R,B,R,B
B,B,R,R
B,R,B,R
B,R,R,B

B IS BLACK , R IS RED

P( o right)= 1/6

P(2 right)= 2*2/6=2/3

P(4 right)=1/6
 

What is a deck of cards?

A deck of cards typically consists of 52 individual cards, divided into four suits (hearts, diamonds, clubs, and spades) and numbered 2 through 10, with face cards (jack, queen, king) and an ace.

How many cards are in a deck?

As mentioned, there are typically 52 cards in a deck. However, some variations of card games may use more or less cards, such as 54 cards in a deck for some poker games.

What is the purpose of a deck of cards?

A deck of cards is commonly used for playing a variety of card games, such as poker, blackjack, and solitaire. It can also be used for performing magic tricks or for fortune-telling purposes.

Can a deck of cards be used for scientific experiments?

Yes, a deck of cards can be used for various scientific experiments, such as testing probability and randomness, studying human decision-making, or teaching math concepts like addition and subtraction.

How were playing cards invented?

The exact origin of playing cards is unknown, but they are believed to have originated in China during the Tang dynasty in the 9th century. They eventually spread to Europe in the 14th century and evolved into the modern deck of cards we know today.

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