A five card hand is drawn from a well shuffled deck of 52 cards. Find the probability that all 5 cards are 10, Jack, Queen, King, and Ace of the same suit.

Question

I cant seem to figure this out. Can the steps be included as well?

Answer 1

There are only 4 ways to get AKQJ10 from the same suit (because there are only 4 suits).

Those are called Royal Flushes, I believe.

So P(Royal Flush) = 4 / ₅₂C₅ = 4/2,598,960 =  1.5391 × 10^-6 or about 0.0000015391