Ask Experts Questions for FREE Help !
Ask
    likeit's Avatar
    likeit Posts: 1, Reputation: 1
    New Member
    		  
    #1

    Feb 18, 2011, 09:50 PM
    Full House Draw

    What is the probability of drawing a full house on the first five cards drawn in a 52 card deck?
    Unknown008's Avatar
    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member
    		  
    #2

    Feb 19, 2011, 01:00 AM

    A full house occurs when you pick a pair and a three of a kind.

    Lets say the pair cards are P and the three of a kind cards are T.

    You have PPTTT, in all the possible arrangements. Can you find the number of arrangements?

    Then, the probability of getting a card in the P slot is 52 (52 possible cards)
    The probability that you pick a card to put in the second P slot, so that this card makes a pair with the first car is 3C1 (only 1 card of the 3 remaining same sign card)

    You proceed the same way with the three of a kind. There are 48 possible cards left though.

    Then find all the ways of getting 5 cards from 52 cards.

    Divide the required events by the number of ways to get 5 cards from 52 cards.
Not your question? Ask your question View similar questions
 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

How can I add more electricity to my house when the breaker box is full? [ 6 Answers ]

I need more electricity in my garage. The breaker box is full, How can I add more?

How do I add a second floor to our house with a full basement? [ 11 Answers ]

I am wanting to add a second floor on my house, for my expanding family of 7 and going to be 8. Our house now has a full basement with one bedroom and one bathroom. The main level has 3 bedrooms and two bathrooms. We want to make the kitchen and living room bigger also. Wandering what are we...

Not getting full power to half of my house [ 4 Answers ]

Ok so we went to bed last night and everything was working. We get up this morning and the fridge, microwave, and all lights on one side of our home aren't working. The A/C sounds like it is trying to come on but it's not getting enough power? The lights in the kitchen will come on dimly and...

Song from Full House [ 6 Answers ]

For those who are familiar with the TV show Full House, the character Jesse sang a song at his and Rebecca's wedding. I would like to know if anyone knows where I can find the music to it. I mean, the notes and stuff. It's the same song he sang outside her window in one episode.

Full House [ 3 Answers ]

Does anyone know if the show full house that was taped in san fransisco have any tourist attractions for Fullhouse the TV show?

View more questions Search