Question

You are dealt two 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. Express your answer as a simplified fraction.

Answer 1

Answer:

= (1/13)*(4/51) = 4/663

Explanation:

We have 4 Kings in the 52 cards. They are Hearts, Spades, Clubs and Diamonds.

Probability of selecting a king is 4/52.

=4/52= 1/13

To select queen wihout replacement, we also have 4 queens as well (i.e Diamonds, Spades, Clubs and Hearts)

We have 4 chances of selecting queen in 51.

The probability of getting both the King and the Queen is:

= (1/13)*(4/51)=4/663