answersLogoWhite

0


Best Answer

The probability of 4 aces being in a hand of 9 cards is:

9C4 ∙ (4/52)∙(3/51)∙(2/50)∙(1/49)∙(48/48)∙(47/47)∙∙∙(44/44) = 0.0004654...

≈ 0.0465%

where 9C4 = 9!/[(9-3)!∙3!] = 126

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What are chances of 4 aces being in a hand of 9 cards?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Statistics

What is the probability that a random selected poker hand contains exactly 3 aces given that it contains at least 2 aces?

To calculate the probability of a random selected poker hand containing exactly 3 aces given that it contains at least 2 aces, we first need to determine the total number of ways to choose a poker hand with at least 2 aces. This can be done by considering the different combinations of choosing 2, 3, or 4 aces from the 4 available in a standard deck of 52 cards. Once we have the total number of ways to choose at least 2 aces, we then calculate the number of ways to choose exactly 3 aces from the selected hand. Finally, we divide the number of ways to choose exactly 3 aces by the total number of ways to choose at least 2 aces to obtain the probability.


The probability of being dealt 4 aces in a 5 card poker hand?

Poker hands 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.)So there is 1 chance in (2,598,960 / 48) = 54,145 of being dealt 4 aces in a 5 card hand.The odds are 54,144 to 1 against. The probabilityis 1/54145 = (approx.) 0.000018469 or 0.0018469%.


A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?

The odds of any card pulled from an ordinary deck of 52 cards being an Ace is 4 in 52 (4 aces in a deck of 52). This can be reduced to a 1 in 13 chance of any random card pulled from the deck being an Ace (or any other specific value, for that matter). That 13th last card dealt in a hand is no different than picking a random card out of the pack, regardless of what cards you deal before (face down or blindfolded or even face up, it doesn't matter). A more interesting question would be "what would the probability be of ANY of those 13 cards being an Ace?" Any takers?


What is the probability of getting exactly three aces in a five-card poker hand dealt from an ordinary 52 card deck?

The probability of getting 3 aces in the order AAABB is; P(AAABB) = (4/52)∙(3/51)∙(2/50)∙(48/49)∙(47/48) = 0.0001736... There are 5C3 = 5!/(3!∙(5-3)!) = 10 different ways in which the aces can come out. So the probability of getting exactly three aces in a five card poker hand dealt from a 52 card deck is, P(3A) ~ 10∙(0.0001736) ~ 0.001736 ~ 0.1736%


What is the probability of not being dealt a queen in a 52 card deck?

The answer will depend on the exact situation.If you are dealt a single card, the probability of that single card not being a queen is 12/13 - assuming you have no knowledge about the other cards.Here is another example. If you already hold three queens in your hand (and no other cards have been dealt), the probability of the next card being dealt being a queen is 1/49, so the probability of NOT getting a queen is 48/49 - higher than in the previous example.

Related questions

When you play poker cards game and you have straight Aces in your hand what that mean?

suited aces


What is the best pair in poker and why is it considered the most powerful starting hand?

The best pair in poker is a pair of aces (AA). It is considered the most powerful starting hand because it has the highest probability of winning before the community cards are dealt. A pair of aces gives you a strong advantage over other players and increases your chances of winning the hand.


In a poker hand consisting of 5 cards find the probability of holding 3 aces?

Approximately 2%


How do you determine what are outs in poker and how do they affect your chances of winning a hand?

In poker, outs are the number of cards left in the deck that can improve your hand. To determine outs, you identify the cards that would give you a winning hand. The more outs you have, the higher your chances of winning the hand. You can calculate your chances of winning by dividing the number of outs by the number of unseen cards.


What is the best starting hand to play in Texas Hold'em according to the Hold'em hands chart?

According to the Hold'em hands chart, the best starting hand to play in Texas Hold'em is pocket aces (two aces as your hole cards).


What wins in Texas holdem a pair of kings and a pair of queens or a pair of two and a pair aces?

In Texas Hold'em, the hand with the higher pair wins. In this case, a pair of aces is higher than a pair of kings, queens, or twos. Therefore, the hand with a pair of aces and a pair of twos would win over a hand with a pair of kings and a pair of queens.


What is the best starting hand to play in Texas Hold'em according to the Texas Hold'em hands chart?

The best starting hand to play in Texas Hold'em according to the Texas Hold'em hands chart is pocket aces (two aces as your hole cards).


What is the probability that a random selected poker hand contains exactly 3 aces given that it contains at least 2 aces?

To calculate the probability of a random selected poker hand containing exactly 3 aces given that it contains at least 2 aces, we first need to determine the total number of ways to choose a poker hand with at least 2 aces. This can be done by considering the different combinations of choosing 2, 3, or 4 aces from the 4 available in a standard deck of 52 cards. Once we have the total number of ways to choose at least 2 aces, we then calculate the number of ways to choose exactly 3 aces from the selected hand. Finally, we divide the number of ways to choose exactly 3 aces by the total number of ways to choose at least 2 aces to obtain the probability.


What hand in poker has the highest probability of beating pocket aces?

The hand in poker with the highest probability of beating pocket aces is a pair of aces.


The probability of being dealt 4 aces in a 5 card poker hand?

Poker hands 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.)So there is 1 chance in (2,598,960 / 48) = 54,145 of being dealt 4 aces in a 5 card hand.The odds are 54,144 to 1 against. The probabilityis 1/54145 = (approx.) 0.000018469 or 0.0018469%.


How do you count outs in poker to determine your chances of winning a hand?

To count outs in poker, you identify the number of cards left in the deck that can improve your hand. This helps you calculate your chances of winning by considering the cards that can help you beat your opponents.


How do you calculate outs in poker to determine your chances of winning a hand?

To calculate outs in poker, you count the number of cards left in the deck that can improve your hand. This helps determine your chances of winning the hand.