For his next trick, a magician will draw a “royal flush” – 10, Jack, Queen, King and Ace of the same suit – in the exact order without replacement. If there are no magic tricks and just pure randomness, what is the probability that he'll succeed?

Answer 1

let's pick one particular suit, say the hearts
to get the above in that order:
prob = (1/52)(1/(51)(1/50)(1/49)(1/48) = 1/311875200
but there are 4 such suits
prob(of your event) = 4/311875200
= 1/77968800