SOLUTION: A hand of 12 cards is dealt from a well- shuffled standard 52 card deck of cards. What is the probability that the hand contains 4 jacks?

Question 76118: A hand of 12 cards is dealt from a well- shuffled standard 52 card deck of cards. What is the probability that the hand contains 4 jacks?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Number of ways to pick the four jacks = 4C4
Number of ways to pick the other 8 cards from 48= 48C8
Number of ways to pick a hand of 12 from the full deck = 52C12
P(4 J's and 8 others)= [4C4*48C8]/52C12 = 377348994/2.06379...x10^11
=0.001828...
------------
This is the same as the probability of picking 8 cards that are not
jacks in a hand of 12 cards or 48C8/52C12.
-----------
Cheers,
Stan H.

RELATED QUESTIONS
What is the probability of being dealt a four card hand from a well shuffled deck of 52... (answered by lynnlo,stanbon)

if a 5 card poker hand is dealt with a well-shuffled deck of 52 cards what is the... (answered by math_helper)

A five card hand is drawn from a well shuffled deck of 52 cards. Find the probability... (answered by Edwin McCravy)

If you are dealt a 5 card hand from a standard deck of 52 playing cards, what is the... (answered by ewatrrr)

If you are dealt a 5 card hand from a standard deck of 52 pledging cards, what is the... (answered by solver91311)

If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, how many different (answered by Edwin McCravy)

A poker hand consisting of 6 cards is dealt from a standard deck of 52 cards. Find the... (answered by stanbon)

A poker hand consisting of 8 cards is dealt from a standard deck of 52 cards. Find the... (answered by stanbon)

A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the... (answered by stanbon)