SOLUTION: Find the probability of drawing a red card and then a black card from a standard 52 card deck. (without replacement)

Question 26669: Find the probability of drawing a red card and then a black card from a standard 52 card deck. (without replacement)
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
THERE ARE 26 RED CARDS OUT OF 52.
HENCE PROBABILITY OF DRAWING RED CARD FIRST=26/52=1/2
NOW THERE ARE 26 BLACK CARDS AND 51 TOTAL CARDS
PROBABILITY OF DRAWING BLACK CARD IS =26/51
SO PROBABILITY OF DRAWING FIRST RED AND THEN BLACK CARD =(1/2)(26/51)
THIS ENDS YOUR PROBLEM.
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BUT IF PROBILITY OF ONE RED AND ONE BLACK CARD IS NEEDED THEN.....
SIMILARLY PROBABILITY OF DRAWING FIRST BLACK AND THEN RED CARD =(1/2)(26/51)
HENCE TOTAL PROBABILITY OF DRAWING ONE BLACK AND ONE RED CARD =SUM OF THE ABOVE 2 PROBABILITIES.=26/51

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