Question

Two cards are randomly selected from a 52 cards deck. The two cards are said to form a blackjack if one of the cards is an ace and the other is either a ten, a jack, a queen, or a king. What is the probability that the two cards form a blackjack?

Answer 1

solution : Given that Two cards are randomly selected from a 52 cards deck

=> Total possible outcomes = 52C2

=> The possible ways to choose one of the card is an ace is 4 ways

=> The possible ways to choose the other card is 16 ways

=> The number of ways of drawing a blackjack is (4C1)*(16C1)

=> The required probability of drawing a blackjack is => number of ways/total possible outcomes

=> (4C1)*(16C1)/(52C2)

=> 4*16/1326

=> 0.0483