Question 529830: Four cards are sequentially drawn from a shuffled deck of 52 cards without replacement. 26 of these cards are red, and the remaining 26 are blue. find the probability of getting a red card on the selection of the third card, given that the first 2 cards drawn have been red.
Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website! Four cards are sequentially drawn from a shuffled deck of 52 cards without replacement. 26 of these cards are red, and the remaining 26 are blue. find the probability of getting a red card on the selection of the third card, given that the first 2 cards drawn have been red.
You draw a card from a deck of 52 cards and it is red.
That leaves a deck of 51 cards, 25 of which are red and 26 of which are blue.
You draw a second card from that deck of 51 cards and it is red.
That leaves a deck of 50 cards, 24 of which are red and 26 of which are blue.
So there are 24 out of 50 ways to draw a red card on the 3rd draw. That's a
probability of 24 out of 50 ways or 24/50 or 12/25.
Edwin
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