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.

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) (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) (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

RELATED QUESTIONS
find the probability of the given event: Being dealt 5 cards from a standard 52-card... (answered by solver91311)
you are dealt one card from a standard deck of 52- cards. Find the probability of being... (answered by JulietG)
What is the probability of being dealt 4 hearts from a standard 52 card deck if only 4... (answered by Alan3354)
Find the number of different 5-card hands that can be dealt from a standard deck of 52... (answered by longjonsilver,venugopalramana)
you are dealt 5 cards from a standard 52 card deck what is the probability that none of... (answered by Scorinitron)
Suppose you are dealt six cards from a standard deck of 52 playing cards. What is the... (answered by ewatrrr)
If you are dealt one card from a standard 52-card deck, find the probability of being... (answered by rfer)
You are dealt one card from a standard 52-card deck. Find the probability of being dealt (answered by malglu)
A card is selected from a standard deck of 52 playing cards. A standard deck of cards... (answered by Fombitz)