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
There are 4 kings in a deck of 52 playing cards, so the probability of drawing a king on the first card is 4/52.
After removing the king from the deck, there are now 51 cards remaining, including 4 queens. So the probability of drawing a queen on the second card, given that the first card was a king, is 4/51.
To find the probability of both events happening, we multiply the probabilities:
(4/52) * (4/51) = 0.00604
So the probability that the first card is a king and the second card is a queen is approximately 0.00604.