Probability. NEED HELP!!!

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)

1. 👍 0
2. 👎 0
3. 👁 204
1. 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}

1. 👍 0
2. 👎 0
2. 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.

1. 👍 0
2. 👎 0

Similar Questions

1. 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

2. math, probability

In the game of blackjack, a 2-card hand consisting of an ace and either a face card or a 10 is called a "blackjack". If a standard 52 card deck is used, determine how many blackjack hands can be dealt. (A "facecard" is a

3. math

Four cards from a standard deck of playing cards are randomly dealt to you. Find the probability that you are dealt exactly 3 aces.

4. Algebra

You have a standard deck of 52 cards,you pick one card from the deck and them without putting the first card back,you pick a second card.What is the probability both cards will be 9s?

1. 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

2. MATH Prob.

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that both cards are black.

3. college matematics

you are dealt one card from a standard 52 card deck find the probability of being dealt a heart

4. Math

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a four.

1. probabilities in statistics

let two cards be dealt sucessively, without replacement, from a standard 52-card deck. find the probability of each event. a) club dealt second, given a diamond dealt first. b) the first card is the ace of hearts and the second is

2. Math

A standard deck of playing cards is shuffled and three people each choose a card. Find the probability that the first two cards chosen are clubs and the third card is black if the cards are chosen with replacement, and if the

3. Statistics

you draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck. a) are the outcomes on the two cards independent? why? b) find P(3 on 1st card and 10 on

4. Stats

Directions: Suppose you have a standard deck 52 cards (4 suits: hearts, diamonds, clubs, and spades each suit has 13 cards (1/4 of the deck) and those 13 cards include one ace,and numbers 2 through 10 and 3 face cards: a jack a