Hi,
I am not a mathematician and this is not homework: I'm trying to write an article on card game strategy. This has involved me learning some combinatorics, but aspects of it are still defeating me.
Here's the question I want to answer. Imagine two players being dealt card from a standard 52 card deck. One player gets 10 cards, the other gets 5. What are the odds that the second player will have more of any single suite than the first player?
It would be helpful to understand if there is an equation for this sort of problem, and how it is derived? As far as I can see the basic "law of probability" that I've learned - P(A or B) = P(A) + P(B) - P(A and B) - is not that helpful here? At least I can't work out how to use that equation to solve the answer to this problem.
Any assistance greatly appreciated, thanks!
I am not a mathematician and this is not homework: I'm trying to write an article on card game strategy. This has involved me learning some combinatorics, but aspects of it are still defeating me.
Here's the question I want to answer. Imagine two players being dealt card from a standard 52 card deck. One player gets 10 cards, the other gets 5. What are the odds that the second player will have more of any single suite than the first player?
It would be helpful to understand if there is an equation for this sort of problem, and how it is derived? As far as I can see the basic "law of probability" that I've learned - P(A or B) = P(A) + P(B) - P(A and B) - is not that helpful here? At least I can't work out how to use that equation to solve the answer to this problem.
Any assistance greatly appreciated, thanks!