SOLUTION: If you are dealt three cards from a shuffled deck of 52 cards, what is the probability that all three cards are face cards.
Algebra.Com
Question 596859: If you are dealt three cards from a shuffled deck of 52 cards, what is the probability that all three cards are face cards.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The probability of 
successes in 
trials where 
is the probability of success on any given trial is given by:
\ =\ {{n}\choose{k}}\left(p\right)^k\left(1\,-\,p\right)^{n\,-\,k})
Where 
is the number of combinations of things taken at a time and is calculated by !})
Then, since there are 13 cards in each suit, only three of which are face cards:
\ =\ {{3}\choose{3}}\left(\frac{3}{13}\right)^3\left(\frac{10}{13}\right)^{0})
=BINOMDIST(3,3,3/13,FALSE) if entered into an Excel (Windows) or Numbers (Mac) spreadsheet will give the answer directly.
But you can also use the following facts to simplify the arithmetic:
for all positive integers and
for all real numbers 
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
If you are dealt 3 cards from a shuffled deck of 52 cards, what is the probability that... (answered by htmentor)
You are dealt three cards without replacement from a shuffled deck of 52
playing cards.
(answered by stanbon)
Please help. My brain is block. Please help.
You are dealt five cards from a shuffled... (answered by stanbon)
if you are dealt five cards from a shuffled deck of 52 cards find the probability that... (answered by Fombitz)
The first three cards dealt from a well-shuffled deck of cards are spades. What is the... (answered by Fombitz)
five cards are dealt from a well shuffled deck what is the probability that all are face... (answered by Theo,greenestamps)
if you are dealt 4 cards from a shuffled deck of 52 cards. Find the probability that all... (answered by stanbon)
If you are dealt 4 cards from a shuffled deck of 52 cards.
Find the probability... (answered by Alan3354)
If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability that none (answered by Alan3354)
