This is a question that came up with my friends while playing a card drinking game:
You draw cards without replacement from a standard 52-card shuffled deck. What is the probability that you draw all of the kings before drawing any of the jacks?
I was thinking of a solution along the lines of combinations, but I'm not sure if that's the way to go. Simulation tells me the answer is ~1.4%, but I don't know how to get to this answer.
Disclaimer: This is not a homework question. I'm really just curious.