SOLUTION: How many five-card hands consisting of three cards of one face value and two cards of another face value can be dealt from a deck of 48 playing cards?
Algebra.Com
Question 969145: How many five-card hands consisting of three cards of one face value and two cards of another face value can be dealt from a deck of 48 playing cards?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many five-card hands consisting of three cards of one face value and two cards of another face value can be dealt from a deck of 48 playing cards?
------------
----------------------------
# of ways to select 3 cards of one face value: 13*4C3 = 13*4 = 52
# of ways to select 2 cards of another face value: 12*4C2 = 72
---
# of ways to "succeed":: 52*72
----
# of random 5-card hands:: 52C5
-------
Ans: P(condition) = (52*72)/52C5 = 0.00144
------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
How many five-card hands consisting of three cards of one face value and two cards of... (answered by stanbon)
How many 5 card hands consisting of 3 cards of 1 face value and 2 cards of another face... (answered by Edwin McCravy)
A poker hand consists of 5 cards dealt from an ordinary deck of 52 playing cards. How... (answered by stanbon,edjones)
if a deck has 53 cards, it contains 4 cuits (hearts,dimonds,clubs, and spades) of 13... (answered by stanbon)
How many five card hands consisting of 3 kings and 2 aces can be dealt from a deck of 52... (answered by stanbon)
How many five card hands consisting of 2 kings and 3 aces can be dealt from a
deck of... (answered by Edwin McCravy)
A deck of cards consists of five yellow cards numbered 1 to 5 and five green cards... (answered by edjones)
Counting Card Hands:
How many of the possible 5-card hands from a standard 52-card... (answered by edjones)
how many three card hands can be dealt from a deck of 52... (answered by Alan3354)