# Probability. NEED HELP!!!

posted by .

What is the probably that a five-card hand dealt from a standard deck of cards will include four cards of the same alue? (This is called a "four of a kind" in poker)

• Probability. NEED HELP!!! -

figure out how many cards are in a deck {52} then take the number of cards in a deck and compare it to the numbers of cards in a four of a kind {4}

• Probability. NEED HELP!!! -

The number of possible ways to deal 5 cards from a standard deck is 52-choose-5 = 52!/5!(52-5)! where ! means factorial. This will be the denominator in your probablity calcuator.
Now for the numerator. There are 13 possible choices for your 4-of-a-kind (A,2,3,..Q,K). That takes care of the 4-of-a-kind part. Your hand still has one more card. There are 48 other cards. So, the number of ways to have 4-of-a-kind in a 5-card hand is 13*48. This is your numerator.

## Similar Questions

1. ### Algebra

Find the probability of the following five-card poker hands from a 52-card deck. In poker, aces are either high or low. Four of a kind (4 cards of the same value) I keep getting 1/199,920, but that's not one of my options.
2. ### Gr. 12 Data Management

In playing poker, the likelihood of being dealt a particular hand depends on the number of ways in which that hand could have been dealt from the 52-card deck. Find the number of ways each hand could be dealt. a) No pairs (five different …
3. ### Math

A standard deck of cards is made up of four suits with 13 cards in each suit (total of 52 cards). If we randomly sample five cards from a standard poker deck, find the probability that all five cards selected are clubs.
4. ### probabilities

Question: Five cards are dealt from standard deck of 52 cards, what is the probability of being dealt 3 kings?
5. ### math

uestion: Five cards are dealt from standard deck of 52 cards, what is the probability of being dealt 3 kings?
6. ### Probability

A player is randomly dealt a sequence of 13 cards from a standard 52-card deck. All sequences of 13 cards are equally likely. In an equivalent model, the cards are chosen and dealt one at a time. When choosing a card, the dealer is …
7. ### Probability

A player is randomly dealt a sequence of 13 cards from a standard 52-card deck. All sequences of 13 cards are equally likely. In an equivalent model, the cards are chosen and dealt one at a time. When choosing a card, the dealer is …
8. ### Math

given a standard deck of 52 cards, 3 cards are dealt. If each card is replaced in the deck (and the deck is well shuffled) after being dealt answer the questions below. 1. If the first two cards are queens, what is the probability …
9. ### Math 12

What is the probability of being dealt four cards of a kind in a five card hand?
10. ### Pre-Calc

Five cards are dealt from a standard deck of 52 cards. What is the probability that three or four of the cards are aces?

More Similar Questions