Permutations vs Combinations

Question

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

Answer 1

Also can be ₄C₂/₅₂C_{2 as number of ways to pick 2 aces out of four/number of ways to choose 2 cards from 52.}

=1/221

Answer 2

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