SOLUTION: You have 26 red cards and 26 black cards. You draw 2 cards and draw another 2 cards without replacing the cards. What is the probability you will draw red cards?

Question 1096129: You have 26 red cards and 26 black cards. You draw 2 cards and draw another 2 cards without replacing the cards. What is the probability you will draw red cards?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It isn't clear how many red cards are desired. If all 4 are red, the first has a probability of 1/2, the second 25/51, the third 24/50 (12/25) and the fourth 23/49. That probability is 13800/249900=0.055
This is intuitively correct since if independent it would be (1/2)^4=1/16=0.0625, which is a little higher, since each probability would be now be 1/2, rather than a little less.
If the question has a different interpretation, please re-submit.
RELATED QUESTIONS
A deck of playing cards contains 26 red and 26 black cards. Two cards are drawn from the... (answered by Nate)

Two cards are drawn in succession, without replacement, from a standard deck of 52 cards. (answered by scott8148)

The red face cards and the black cards numbered 2-9 are out into a bag. four cards are... (answered by ewatrrr)

A carnival game costs $3 to play. You draw 2 cards from a 12 card deck that has 4 red... (answered by Boreal)

You draw two cards from a standard deck of cards (52 total cards), without replacing the... (answered by Fombitz,dkppathak)

A special deck of cards has 6 red cards, and 5 black cards. The red cards are numbered... (answered by greenestamps,ikleyn)

If you are dealt 4 cards from a shuffled deck of red cards (26 different cards), find the (answered by stanbon)

A deck of 40 cards contains 10 green cards, 29 blue cards, and 1 red card. The first... (answered by Edwin McCravy)

You are dealt 2 cards from a shuffled deck of 52 cards, without replacement. There are... (answered by sudhanshu_kmr,ewatrrr)