View Full Version : probability of drawing a royal flush from a deck of cards, order and suit irrelevant
whendricks
Jul 12, 2012, 11:34 AM
What is the probability of randomly drawing a royal flush from a standard deck of cards (without replacementT and order and suit are not important?
whendricks
Jul 12, 2012, 11:38 AM
What is the probability of randomly drawing a royal flush from a standard deck of cards (without replacementT and order and suit are not important?
1.3 x 10^-8
Unknown008
Jul 12, 2012, 11:38 AM
Do you know how to calculate basic probabilities?
You first need to know what is a royal flush.
Then, you need to get the probability of picking a first card which is required to get a royal flush.
Multiply that probability by the probability of getting the other cards. After the first card, your choices get narrower.
ebaines
Jul 12, 2012, 11:49 AM
1.3 x 10^-8
Nope. You seem to have divided 4 (which is the number of hands that are a Royal Flush) by P(52,5), which is the number of ways that 5 cards can be dealt from a deck. I think you forgot to account for the fact that the 5 cards of a royal flush may be dealt in any order.