Find the indicated probability. Round your answer to 6 decimal places when necessary
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
In fraction form
There are 4 Kings in a standard deck of 52 playing cards. After the first card is drawn, there are 51 cards left in the deck, and 4 of them are Queens.
The probability of drawing a King on the first draw is 4/52 or 1/13.
After a King has been drawn, the probability of drawing a Queen on the second draw is 4/51.
To find the probability of both events occurring, we multiply the probabilities:
(1/13) * (4/51) = 4/663
Therefore, the probability that the first card is a King and the second card is a Queen is 4/663 in fraction form.