Two cards are drawn at random from a pack of 52 cards. What is the probability that the drawn cards are both aces?

Question

Two cards were drawn, without replacement, from a pack of 52 cards. what is the probability that they are both kings or both queens?

Answer 1

The way to draw 2 cards out of a possible 4 queens 4P2
the way to draw 2 cards from a deck of 52 cards 52P2

= (4/52) * (3/51) = 12 / 2652 = 1 / 221

Comments

normally we take 4c2/52c2 as others have done

Answer 2

Probability of drawing two aces = 4C2/52C2 = 1/221

Answer 3

here are 4 aces. favourable conditon to pick up 2 aces from 4 is 4combnation to 2 that is 4c2. Toatal condition is 52c2.
4c2/52c2=6/1326 is your answer

Answer 4

p(E)= 4c2 / 52c2 = 1/221