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

## 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.

## What is the probability you draw 4 aces from a deck of 52 cards?

= 3.6938e-006. 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!.

**What is the probability of drawing 4 aces from a deck of cards?**

There are 52 cards, 4 of them aces. The probability the first card drawn is an ace is 4/52= 1/13. There are then 51 cards, 3 of them aces.

**How many ways can you draw 4 aces?**

Method One: There are C(52,5) = 2,598,960 possible hands. 48 of these contain 4 aces (4 aces and the king of spades, 4 aces and the queen of spades, 4 aces and the jack of spades, etc.).

### What are the odds of getting four 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.

### What is the probability of drawing a black card?

However, The probability of getting a black card or an ace [which we may denote as P(black or ace)] is not P(black) + P(ace) since the former is 28/52 (there are 26 black cards and 2 red aces) while the latter is 26/52 + 4/52.

**What is the probability of drawing a red card in a standard deck of 52 cards?**

6 out of

Explanation: In a deck of cards, there are 6 red-faced cards. So, the probability of drawing a red-faced card is 6 out of 52 cards.

**What are the odds of getting dealt 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 of a kind?

0.02401%

Frequency of 5-card poker hands

Hand | Distinct hands | Probability |
---|---|---|

Four of a kind | 156 | 0.02401% |

Full house | 156 | 0.1441% |

Flush (excluding royal flush and straight flush) | 1,277 | 0.1965% |

Straight (excluding royal flush and straight flush) | 10 | 0.3925% |

## What are the odds of a royal flush on the flop?

There are 2598960 unique 5-card poker hands (C(n,r) = C(52, 5) = 2598960). 4 of those are royal flushes. So, the odds of one specific player flopping a royal flush would be 4-in-2598960, or 1-in-649740.

**What are the odds of winning Queen of Hearts?**

Assuming there are 500,000 tickets sold and you bought one of them, you have a one in 500,000 chance in being picked. That’s the easy part.