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Permutations vs Combinations

You are going to draw 2 cards from a deck of cards (without replacement).  What is the probability you will draw two aces?

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Michael F. | Mathematics TutorMathematics Tutor
4.6 4.6 (5 lesson ratings) (5)
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Also can be 4C2/52C2 as number of ways to pick 2 aces out of four/number of ways to choose 2 cards from 52.
=1/221
SURENDRA K. | An experienced,patient & hardworking tutorAn experienced,patient & hardworking tut...
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Probability of first ace= 4/52
 
Probability of second ace without replacement = 3/51
 
So , total probability = (4/52)*(3/51)
 
                               =(1/13)*(1/17)
 
                               = 1/221