Question

In a standard deck of 52 cards, you are getting two cards. Find the probability of picking a king, and then another king.

Answer 1

Answer: P(King AND King) = 1/221

Explanation:

There are 4 Kings in a deck of 52 cards total

Probability of getting a King first time:

P(King) = 4/52 > 4 Kings out of 52 total cards

P(King) = 1/13 >reduced fraction by dividing top and

bottom by 4

Probability of getting another king:

P(King) = 3/51 > You took out a king so there are 3 left and 1

less to the total making 51

P(king) = 1/17 >Reduced by dividing top and bottom by 3

Probability of getting king and then king again. The second king is dependent on you getting a king the first time. Because it is dependent, you multiply the 2 probabilities

P(King AND King) = (1/13)(1/17)

P(King AND King) = 1/221