fine the probability of dealing a five-card hand that contains the ace, king, queen, jack and ten of the same suit from a deck of 52 cards

Question

directrix · Answer

I assume this is a Royal Flush based on what I read here: http://www.pokerlistings.com/poker-hand-ranking

directrix · Answer

There are four such hands of 5 cards. (one each for the four suits).

Probability is the number of successful outcomes divided by the number of possible outcome.

directrix · Answer

There are only 4 successful outcomes: a royal flush of hearts, spades, diamonds, and clubs.

The number of possible outcomes of drawing five cards from a 52 card deck is large.   It is a combination of 52 cards taken 5 at a time. In symbols, that is C(52,5) which is 2 598 960.

directrix · Answer

The probability of a royal flush is 4 divided by 2 598 960.

directrix · Answer

@electronicz

anonymous · Answer

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