# Probability using a deck o' cards!

1. Jun 9, 2010

### satchmo05

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. Jun 9, 2010

### Dick

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

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