SOLUTION: you are dealt 2 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

Algebra ->  Probability-and-statistics -> SOLUTION: you are dealt 2 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      Log On


   

Question 203952This question is from textbook thinking mathmatically
: you are dealt 2 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. This question is from textbook thinking mathmatically

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 Kings in the 52 card deck:L
K of Spades
K of Clubs
K of Diamonds
K of Hearts
There are 4 chances in 52 that I will be dealt
a King on the first card
4%2F52+=+1%2F13
The important words is AND:
the first card is a king AND the second card is a queen.
When you want the probability of both events happening,
you multiply the probabilities.
After I have the 1st card, there are 51 cards left
There are 4 queens
Q of Spades
Q of Clubs
Q of Diamonds
Q of Hearts
There are 4 chances in 51 that I will be dealt a Queen
The probability of getting both the King and the Queen is:
1%2F13+%2A+4%2F51+=+4%2F663
4%2F663+=+.006033 answer