I don't know much about statistics so I'm not sure how complex this problem is but:
I have a deck of 9 cards, and I have 3 favorite cards in the deck. I choose 3 cards at random from the deck. What is the probability that at least one of the 3 random cards is a favorite card?
If someone can show me how to get to the answer, it would be much appreciated. Thanks!
The distributions in statistics are a great help in solving many probability problems.
If you are not replacing the cards then you use the hypergeometric distribution.
The probablility is 16 / 21.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.