What is the probability of getting 4 aces when drawing 5 cards from a standard deck of 52 cards?

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What is the probability of getting 4 aces when drawing 5 cards from a standard deck of 52 cards?

1 If we draw four cards from 52 cards, then the total possible outcomes are C5244!. The number of outcomes that have four aces in a row is 4! The correct answer to the question posed is: The probability is 1.

Which of the following represents the probability of getting 4 aces when 5 cards are drawn from a deck of ordinary cards?

The first draw has 4 aces in the deck so the probability of drawing an ace is 4 in 52 = 0.077.

How many ways can you draw 5 cards from a standard deck and get 4 aces?

a) There are (525)=2,598,960 ways of choosing 5 cards. There are (44)=1 way to select the 4 aces. So there are (481)=48 ways to select the remaining card. Thus there are a total of 48 ways to select 5 cards such that 4 of them are aces, and the probability is: 482,598,960=154,145.

How many five card hands that contain all 4 aces can be dealt from a standard pack of 52 cards?

Yes you are correct: 52-4=48.

What is the probability of 4 aces?

1 in 54,145 Chances of getting four Aces in 5-Card Draw: 1 in 54,145 hands on average. Chances of getting any four of a kind in Hold 'Em: 1 in 4,165 hands on average.

What is the probability of getting 4 as mean?

Answer: in getting 4 aces: 1/52×/151×1/50×1/49×4! or do I simply say it is: 4/52=1/13.

What are the chances of getting 4 aces?

Chances of getting four Aces in 5-Card Draw: 1 in 54,145 hands on average. Chances of getting any four of a kind in Hold 'Em: 1 in 4,165 hands on average.

How many ways is it possible to choose 4 aces?

For the whole deck there are 52! permutations.

What is the probability of drawing a 5 card?

the probability of drawing a 5 from the deck is 4/52. the odds of drawing a 5 from the deck are 4/52 divided by 48/52 which is equal to 4/52 * 52/48 which is equal to 4/48 which is equal to 1/12 which means 1 to 12.

What is the probability of drawing 3 Kings and 2 Queens in a 5 card hand?

the probability of getting 3 aces and 2 kings when you draw 5 cards from the deck is 24 / 2598960 = 9.234463016 * 10^-6. Step-by-step explanation: the number of ways you can get 3 aces out of 4 aces is c(4,3) = 4. the number of ways you can get 2 kings out of 4 kings is c(4,2) = 6.

What is the probability of getting 4 Aces in a 5 card hand?

Then the # of hands which has 4 aces is 48 (because the 5th card can be any of 48 other cards). So there is 1 chance in (2,598,960/48) = 54,145 of being dealt 4 aces in a 5 card hand. The probability is 1/54,145 ≈ .0018469%.

How many aces are in a 5 card poker hand?

Pokerhands are combinations of cards (when the order does not matter, but each object can be chosen only once.) The number 52C5 of combinations of 52 cards taken 5 at a time is (52x51x50x49x48) / (5x4x3x2x1) = 2,598,960. The number of hands which contain 4 aces is 48 (the fifth card can be any of 48 other cards.)

Is there a way to have 4 Aces in a hand?

There is only 1 way to have the four Aces. The fifth card can be any of the remaining 48 cards. Hence, there are: 1 × 48 = 48 1 × 48 = 48 hands that contain the four Aces. Therefore: P (4 Aces) = L 48 2,598,960 = 1 54,145 P (4 Aces) = L , 960 = 1 54, 145

How to calculate the probability of 4 of a kind?

Probability of 4 of a kind Calculate the probability of 4 of a kind: First calculate the total number of possible hands in a 52 card deck: From a deck of 52 cards, we want the number of possible unique ways we can choose5 cards. Using the combinations formula 52 choose 5 shown here, we get: Total Possible 5 Card Hands = 52! (52-5)! * 5!

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Hello, i am totaly lost on this problem and have already been reduced to punching randome numbers in the calculator. Could someone please tell me how to start this problem? What is the probability of holding all 4 aces in a 5 card hand dealt from a standard 52 card deck?

Thanks

What is the probability of getting 4 aces when drawing 5 cards from a standard deck of 52 cards?

\(\displaystyle \L \frac{48} {52 \choose 5}\)
WHY? Can you explain?

Thank you, how did you get that number?

What is the probability of getting 4 aces when drawing 5 cards from a standard deck of 52 cards?

If a five-card deal has all four aces then how many ways can there be a fifth card?

52-4? So that would give you the 48 right?

Sorry if i sound dumb but its hard to think straight when panicking, the test on this is friday.

What is the probability of getting 4 aces when drawing 5 cards from a standard deck of 52 cards?

What is the probability of getting 4 aces when drawing 5 cards from a standard deck of 52 cards?

Do not panic! Just think!
Yes you are correct: 52-4=48.

Re: cards: probability of holding all 4 aces in a 5-card han Hello, adon! Okay, some baby-talk may be in order . . .

What is the probability of holding all 4 aces in a 5-card hand dealt from a standard 52-card deck?

First, there are \(\displaystyle \,\begin{pmatrix}52\\5\end{pmatrix}\,= \,2,598,960\) possible hands. Now, how many 5-card hands will contain the four Aces?

There is only 1 way to have the four Aces.


The fifth card can be any of the remaining 48 cards. \(\displaystyle \;\;\)Hence, there are: \(\displaystyle \,1\,\times\,48\:=\:48\) hands that contain the four Aces.

Therefore: \(\displaystyle \,P(\text{4 Aces})\;=\;\L\frac{48}{2,598,960}\;=\;\frac{1}{54,145}\)