From a full deck of cards, you are dealt two cards. What is the probability of getting i) A king and a Queen? ii) Two cards from the same suit? iii) A king and a Queen from the same suit?

Question

From a full deck of cards, you are dealt two cards. What is the probability of getting

i) A king and a Queen?

ii) Two cards from the same suit?

iii) A king and a Queen from the same suit?

Answer 1

The odds of getting a king is 4/52 or 1/13. The odds of getting a queen is the same. However, since you are dealt two cards, your second card will be chosen out of 51 cards. Therefore, the probability could be calculated by taking the product of 1/13 and 4/51.

(For parts two and three) remember a suit contains 13 cards. A king and queen from the same suit requires that you first are dealt one of the four kings in the deck, then a specific queen that matches (there is only one of these in the deck).

If you need any additional help with calculations let me know.