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Homework Help: Probability using a deck o' cards!

  1. Jun 9, 2010 #1
    1. The problem statement, all variables and given/known data
    A deck of cards is shuffled and the cards are turned up one at a time. What is the probability that all the aces will appear before any of the tens?


    2. Relevant equations
    No equations that I know of are useful here...


    3. The attempt at a solution
    This problem is one that deals without replacement due to the unspoken assumption. Ergo, the initial probability of drawing an ace off the top of the deck is 4/52. I am not sure where to go from here. I have a similar problem concerning drawing 10 cards and finding the probability of drawing five red cards without replacement. This example uses the binomial theorem, but I am having a hard time using that theorem here...

    Any helpful suggestions? Thanks for your time and help in advance! Much appreciated!
     
  2. jcsd
  3. Jun 9, 2010 #2

    Dick

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    Science Advisor
    Homework Helper

    Do the other cards in the deck really matter? Suppose there are just 8 cards, 4 aces and 4 tens?
     
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