If three cards are drawn without replacement from a deck, find the probability that the third card is a face card, given that the first card was a queen and the second card was a 5.
Fractions
1/5
3/13
11/50
or
6/25
2007-09-02 11:27:35 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
11/50 because there are 11 face cards remaining among 50 total cards
2007-09-02 11:34:02 · answer #1 · answered by Jahir 2 · 0⤊ 0⤋
Assuming there were 52 cards in the deck (including the jokers which are not face cards) you get fractions:
12/52 face cards
40/52 other cards
subtract 1/52 face cards, and then 1/52 other cards
(now take two from the denominator since the first two cards were not reshuffled or placed back into the deck)
Now you have:
11/50 face cards---------Answer
39/50 other cards
You have a 11/50 chance of getting a face card
or 22% (2 X 11=22)
Have a good day/night (scratch that) life ^_^
2007-09-02 18:45:00 · answer #2 · answered by Lixender 2 · 0⤊ 0⤋
There are 50 cards left of which 11 are face cards
So probability is 11/50
2007-09-02 18:35:14 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
11/50
2007-09-02 18:38:14 · answer #4 · answered by JO 3 · 0⤊ 0⤋