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?
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