Question

Two cards are drawn at random from a pack of 52 well shuffled playing cards. The probability that the cards drawn are aces is Select the correct answer from above options

Answer 1

Let S be the sample space. Then, n(S) = number of ways of selecting 2 cards out of 52 =52C2= (52×51) (2×1) =1326. Let E = event that both the cards drawn are aces. Then, n(E) = number of ways of drawing 2 aces out of 4 =4C2= (4×3) (2×1) =6. P(getting 2 aces) =P(E)= n(E) n(S) = 6 1326 = 1 221 .