SOLUTION: find the probability of the given event: Being dealt 5 cards from a standard 52-card deck, and the cards are a 10, jack, queen, king, and ace, all of the same suit.

Algebra ->  Probability-and-statistics -> SOLUTION: find the probability of the given event: Being dealt 5 cards from a standard 52-card deck, and the cards are a 10, jack, queen, king, and ace, all of the same suit.      Log On


   

Question 199708This question is from textbook Using and Understanding Mathematics A Quantitative Reasoning Approach
: find the probability of the given event: Being dealt 5 cards from a standard 52-card deck, and the cards are a 10, jack, queen, king, and ace, all of the same suit. This question is from textbook Using and Understanding Mathematics A Quantitative Reasoning Approach

Found 2 solutions by rfer, solver91311:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
(1/52)(1/51)(1/50)(1/49)(1/48)=1/311,875,200
Sorry for the above error, but I locked in on only on set of 5 and not 4 sets of 5. Got side tracked.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


My apologies to rfer(78), but I must point out that his/her solution to this problem is incorrect.

There are exactly 4 five card hands that fit the criteria for a royal flush, that is, an Ace-high straight flush, namely 10-J-Q-K-A in each of the four suits.

The number of possible 5 card hands that can be dealt from a standard 52 card deck is the number of combinations of 52 things taken 5 at a time:



So the probability of a royal flush is:



John