Question

With a standard deck of 52 playing cards, how many seven-card hands containing exactly one pair...

With a standard deck of 52 playing cards, how many seven-card hands containing exactly one pair of 5's are possible?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

standard deck 52 cards

7 card hands

2 of them are 5's while remaining 5 are from remaining 48 cards

P(one pair of 5's in 7 card hand) = ?

P(one pair of 5's in 7 card hand) = n(chose 2 5's out of 4)*n(chose 5 cards out of remaining 48)/n(chose 7 of 52 cards)

P(one pair of 5's in 7 card hand) =

P(one pair of 5's in 7 card hand) =

P(one pair of 5's in 7 card hand) = ​​​​​​​

P(one pair of 5's in 7 card hand) = ​​​​​​​​​​​​​​

P(one pair of 5's in 7 card hand) =

P(one pair of 5's in 7 card hand) = ​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​0.0768

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
How many possible? 5-card hands from a standard? 52-card deck would consist of the following? cards?...
How many possible? 5-card hands from a standard? 52-card deck would consist of the following? cards? ?(a) three hearts and two non hearts ?(b) four face cards and one non-face card ?(c) one red card?, two clubs, and two spades
. Consider 5-card hands from a standard 52-card deck of cards (and consider hands as sets,...
. Consider 5-card hands from a standard 52-card deck of cards (and consider hands as sets, so that the same cards in different orders are the same hand). In your answers to following questions you may use binomial coefficients and/or factorials. (Recall that there are 4 Aces, 4 Kings, and 4 Queens in the deck of cards) a) How many different 5-card hands are there? b) How many hands are there with no Aces? c) How many hands are there...
Consider a standard deck of 52 playing cards. Each part of 19 and 20 is worth...
Consider a standard deck of 52 playing cards. Each part of 19 and 20 is worth 3 points, while 21 is worth 10 points. 19. (a) How many three-card hands are possible? (b) How many three-card hands consisting only of face cards (jack, queen, king) are possible? 20. (a) How many five-card hands consisting entirely of hearts are possible? (b) How many three-card hands consisting only of face cards (jack, queen, king) are possible?
An ordinary deck of playing cards (containing 52 standard cards) is randomly divided into two parts,...
An ordinary deck of playing cards (containing 52 standard cards) is randomly divided into two parts, each containing at least one card. (a) What is the probability that each part contains at least one ace. (b) Find the probability that each part contains exactly two aces.
5 cards are randomly selected from a standard deck of playing cards. How many hands contain...
5 cards are randomly selected from a standard deck of playing cards. How many hands contain exactly 1 queen, 1 king and 2 aces?
If you are dealing from a standard deck of 52 cards a) how many different 4-card...
If you are dealing from a standard deck of 52 cards a) how many different 4-card hands could have at least one card from each suit? b)how many different 5-card hands could have at least one spade? c) how many different 5-card hands could have at least two face cards (jacks, queens or kings)?
If one card is drawn from a standard deck of 52 playing cards, what is the...
If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a number card (Ace, 2-10)?
Q19. Consider an ordinary 52-card North American playing deck (4 suits, 13 cards in each suit)....
Q19. Consider an ordinary 52-card North American playing deck (4 suits, 13 cards in each suit). a) How many different 5−card poker hands can be drawn from the deck? b) How many different 13−card bridge hands can be drawn from the deck? c) What is the probability of an all-spade 5−card poker hand? d) What is the probability of a flush (5−cards from the same suit)? e) What is the probability that a 5−card poker hand contains exactly 3 Kings...
A standard deck of playing cards has exactly 52 cards (not counting jokers). Of the 52...
A standard deck of playing cards has exactly 52 cards (not counting jokers). Of the 52 cards, 4 are kings and 4 are queens. If five cards are dealt from a shuffled deck, what is the probability of getting exactly 2 kings and exactly 1 queen?
In a standard 52 card deck of playing cards, each card has one of four suits:...
In a standard 52 card deck of playing cards, each card has one of four suits: spades, heart, club, or diamond. There are 13 cards of each suit. Alison thoroughly shuffles a standard deck, draws a card, then returns it to the deck, and shuffles again. She repeats this process until she has drawn 9 cards. Find the probability that she draws at most 3 spade cards, Use Excel to find the probability.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT