Question

Two cards are randomly selected from a standard deck (52 cards). What is the probability of selecting two kings if a) the second card is selected after replacing the first card; b) the second card is selected without replacing the first card?

Answer 1

The probability of selecting two kings from a standard deck of cards is 1/169 with replacement and 1/221 without replacement.

Step-by-step explanation:

The probability of selecting two kings from a standard deck of 52 cards can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

a) If the second card is selected after replacing the first card, the probability of selecting two kings is (4/52) * (4/52) = 1/169.

b) If the second card is selected without replacing the first card, the probability of selecting two kings is (4/52) * (3/51) = 1/221.

Therefore, the probability of selecting two kings with replacement is 1/169, and without replacement is 1/221.