What's the chance of getting 3 aces on a 5 card draw?

Answer and Explanation: The total number of cards in a deck is N=52 . If a 5 card poker hand contains at least 3 aces. Thus, the probability is 0.008 .

How many 5 card hands have exactly 3 aces?

How to show that there are 4704 ways to choose 5 cards with exactly 3 Ace's from a deck of 52 cards?

What are the odds of getting 3 aces?

What is the probability of drawing an Ace 3 times in a row with replacement? The probability of drawing an Ace once is 1/13 so the probability of drawing an Ace 3 times in a row with replacement is (1/13)^3 which would be 1/2,197.

What is the probability of getting 3 aces in 52 cards?

Hence, the probability that you draw 3 cards and you selected 3 aces from a deck of 52 cards is 15525.

What are the odds of rolling 3 of a kind with 5 dice?

Which comes out to ~0.15.

Probability of 2 aces (in a 5 card hand)

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

If you have a standard deck of 52 cards, what is the probability that out of a hand of 5 cards you get 4 aces? 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.

What is the probability of getting 3 aces without replacement?

The question states without replacement. Hence the probability is 452×351×250=15525.

What is the probability of getting 4 aces in 13 cards?

First choose one of the players - there are 4 ways to do this. Then the probability that this player gets all four aces is the probability that 13 cards chosen at random from 52 contain four aces, which is (489)(5213). The required answer is therefore 4⋅(489)(5213), which is equivalent to the vadim123's answer.

What is the probability of 4 aces in a deck?

Correct answer:

Explanation: There are 4 aces in the 52-card deck so the probability of dealing an ace is 4/52 = 1/13. In a 5-card hand, each card is equally likely to be an ace with probability 1/13. So together, the expected number of aces in a 5-card hand is 5 * 1/13 = 5/13.

How rare is 4 aces?

The chances of getting four Aces in 5-Card Draw is 1 in 54,145 hands on average.

What is the probability of dealing yourself three aces in a 5 card hand from a well shuffled deck?

The answer is there are 4 aces distributed in the 52 cards of the deck. The probability of drawing exactly 3 aces in 5 attempts is 0.0000684.

How good is 3 aces in poker?

Three-of-a-Kind is the 6th best possible hand in the poker hand ranking system. The Straight ranks directly above it, with the best Straight being ace-high, also known as “Broadway”. There are only 3 hands that rank beneath 3-of-a-Kind. The hand that ranks directly under a 3-of-a-Kind is Two Pair.

Does 3 aces beat a flush in poker?

Does Three of a Kind Beat a Flush in Poker? While both are very good hands, a flush beats three of a kind in poker. A flush is mathematically harder to get in a poker game, making it a stronger and more rare hand than three of a kind.

How much is 3 aces in blackjack?

The Dealer's first ace counts as 11 unless it busts the hand. Subsequent aces count as one.

What is the probability of getting 3 aces and 2 kings?

Given, 5 cards are drawn from a standard deck of 52 cards. Since there are 13 sets of each type, we have to select any 2 kinds of it. So the probability of a “full house” is 0.00144. Therefore, the probability of drawing 3 aces and 2 kings is 9.23×10−6 9.23 × 10 − 6 and the probability of a “full house” is 0.00144.

What are the odds of 5 aces?

His answers: The odds of hitting a seven-card straight flush (including a wild one) are 1-in-676,066; the odds of getting five aces are 1-in-136,652.

What are the odds of getting aces 4 times in a row?

The number of outcomes that have four aces in a row is 4! Save this answer. Show activity on this post. The correct answer to the question posed is: The probability is 1.

Can you have 3 aces in 31?

A hand worth 31 is declared by calling "Cadillac" and every other player loses a life. Three Aces make a "Grand Cadillac" worth 33 points - this is declared in the same way as a Cadillac and each other player loses a life.

What are the odds of getting aces 3 times in a row?

(27)3 is the probability of getting 3 aces in a row before any rounds have already been played.

How many 5 card hands will have 3 aces and 2 kings?

24 five-card hands contain exactly 3 kings and 2 aces.

What is the rarest hand in poker?

The rarest poker hand is the Royal Flush which is also the best possible Straight Flush. This five-card combination ranks ahead of every other as it is unbeatable but can beat every other hand at the showdown. The Royal Flush consists of an Ace, a Jack, a King, a Queen and an Ace all from the same suit.

How many 5 card hands have 4 aces?

52! / 5! = 2,598,960. That's the number of possible poker hands. From this number, exactly 48 of those hands contain four aces.

Can you get 4 aces in poker?

Playing with a standard 52-card deck, there are 13 possible quads, such as four aces, four deuces, four tens, or four kings. Every card in the deck, per poker hand rankings, has four of its kind in that deck. Since there are five cards in a Hold'em hand, this means that there are 156 quad hands possible.