Question

Two cards are drawn without replacement from a shuffled deck of 52 cards. what is the probability that the first card is a black ace and the second card is a red ace? 1265212652 16631663 1130011300 1270412704

Answer 1

Pick 1: 2 black aces (spades & clubs) out of 52 cards = 2/52 = 1/26
Pick 2: 2 red aces (hearts and diamonds) out of 51 cards = 2/51

Pick 1 AND Pick 2
1/26 x 2/51 = 2/1326 = 1/663 ≈ .0015