Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that the first card is a face card and the second card is a queen?
I keep getting 7/221
but the answer says it's 11/663.
anyone know?
Two cards are drawn without replacement from a standard deck of 52 cards. What is the probability that the first card is a face card and the second card is a queen?
I keep getting 7/221
but the answer says it's 11/663.
anyone know?
Originally Posted by stuck_fugu
(where should be read as "and", and should be read as "or".
Now as there are four of each value of card in a deck and 52 cards:
.
And I'm sure you can do the final sum for yourself.
RonL
Hello, stuck_fugu!
Two cards are drawn without replacement from a standard deck of 52 cards.
What is the probability that the first card is a face card and the second card is a queen?
There are two possible cases:
[1] The first card is a Queen and the second is a Queen.
. . . There are 4 choices for the first card; 3 choices for the second.
. . .
[2] The first card is a Face card (not a Queen) and the second is a Queen.
. . . There are 8 choices for the first card (4 Jacks, 4 Kings)
. . . and 4 choices for the second card (4 Queens).
. . .
Therefore: .