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

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

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.

### What is it called when you have all 4 aces?

When we talk about what is aces poker we refer to the combination of 4 poker aces in our hand. That is, the sum of the ace of hearts, diamonds, spades and clubs. This is a poker hand – which is made up of four of a kind, in the case of games such as Texas Hold’em – but with four aces.

How many 5-card hands are possible that have all 4 aces?

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 \displaystyle \,1\,\times\,48\:=\:48 1×48=48 hands that contain the four Aces.

Are there 4 aces in a deck of 52 cards?

Related questions A deck of cards has 52 cards with suits that are either red or black. There are four aces in a deck of cards: two red and two black. You remove a red ace from the deck and shuffle the cards. In a deck of 52 cards, what is the probability of drawing an ‘ace of spades’ from that deck of 52 cards?

## What is the probability that you get dealt a bridge hand that has all four aces?

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 are the odds of drawing 4 Aces from a deck?

The first answer you provided (152×151×150×149×4!) is correct. 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!

What is the probability of being dealt a bridge hand with 4 Aces?

How many hands contain 2 aces and 2 kings?

(b) How many poker hands consist of 2 Aces, 2 Kings and a card of a different denomination? You can pick the 2 aces, 2 kings in C(4,2) · C(4,2) = 6 · 6 = 36 ways. You can pick the remaining card in any of 52 − 8 = 44 ways so the answer is 36 · 44 = 1,584.

## What is the probability that a bridge hand contains at least two aces?

The chances of getting ex- actly two aces are about 20% or roughly 1 in every 5 hands.

### What does 4 aces mean in spades?

You keep playing as many rounds as it takes until someone hits 20 points or more, or if someone manages to get 4 ACES in either their exposed OR hidden hands (all 4 ACES must be in ONE hand), they may call “4 ACES” immediately and the entire game is over and that person is the winner, even if it occurs in the first …

What is the probability that all 5 cards have the same suit?

1 Answer. Probability of getting a hand that has 5 cards of the same suit (flush, straight flush, royal flush) =51482598960≅. 00198 .

What is the probability that 4 aces appear together when a pack of 52 cards is shuffled completely?

The first ace is a 4/52 chance, 4 aces and 52 cards. The second ace is 3/51, since there are three aces left and 51 cards in total. The third ace is 2/50(1/25) and the fourth is 1/49. Multiply these all together and you get 1/270725 which is 0.000004%.