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?

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Originally Posted by whendricks

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?

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1.3 x 10^-8

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.

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Originally Posted by whendricks

1.3 x 10^-8

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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.