Question

Narcissa plans to randomly draw a card from a standard deck of cards, record the result, return the card to the deck, shuffle the deck, and randomly draw another card. So, she will draw a total of 2 cards. What is the probability that she draws a king, and then a queen?

Answer 1

In a standard deck of cards, there are 52 cards; 4 Kings and 4 Queens.

The probability of drawing a King is $P(K)= \frac{4}{52}= \frac{1}{13}$

Returning these cards back to the deck, we'll again have 52 cards. In a similar way, drawing a Queen is $P(Q)= \frac{4}{52} = \frac{1}{13}$.

The final probability is $P(K)*P(Q)= \frac{1}{13} \frac{1}{13}= \frac{1}{169}$