Question

you are dealt 2 cards successively (without replacement) from a shuffled deck of 52 playing cards. Find the probability that the first card is a king and the second card is a queen.

Answer 1

There are 4 Kings in the 52 card deck:L K of Spades K of Clubs K of Diamonds K of Hearts There are 4 chances in 52 that I will be dealt a King on the first card {{{4/52 = 1/13}}} The important words is AND: the first card is a king AND the second card is a queen. When you want the probability of both events happening, you multiply the probabilities. After I have the 1st card, there are 51 cards left There are 4 queens Q of Spades Q of Clubs Q of Diamonds Q of Hearts There are 4 chances in 51 that I will be dealt a Queen The probability of getting both the King and the Queen is: {{{1/13 * 4/51 = 4/663}}} {{{4/663 = .006033}}} answer