I have a deck of cards. What is the chance if I draw 5 cards, all of them are a distinct type? (Ace,2,3,5,6,7,8,9...King)
I believe you are describing a "flush".....5 cards of the same suit
We have three types
Royal Flush - 4
StraightFlush - 36
Flush - 5108
Probability = [ 4 + 36 + 5108 ] / C (52,5) ≈ 0.00198 ≈ .198%
Thanks so much, CPhill!