Question

Two cards are randomly selected from an ordinary playing deck (52 cards). What is the probability that they form a blackjack?

Answer 1

Solution:

Given: Two cards are randomly selected from an ordinary playing deck (52 cards).

Thus selecting any two cards from 52 cards have ₅₂C₂ ways:

We have to find the probability that they form a Blackjack.

Blackjack means One is An Ace card and other one is one of the Tens, Jack , Queen or King.

So one Ace card from 4 ace cards can be selected in ₄C₁ = 4 different ways and

other one card can be selected from ( 4 tens + 4 Jack + 4 Queen + 4 King) = 16 cards in ₁₆C₁ = 16 ways.

Thus