SOLUTION: Select a card from deck. DO NOT return it. Select another card. What is the probability that a red 3 and a face card are the two cards you chose? I get 2/52 and 12/51, (2 red 3's

Algebra ->  Probability-and-statistics -> SOLUTION: Select a card from deck. DO NOT return it. Select another card. What is the probability that a red 3 and a face card are the two cards you chose? I get 2/52 and 12/51, (2 red 3's      Log On


   

Question 223066: Select a card from deck. DO NOT return it. Select another card. What is the probability that a red 3 and a face card are the two cards you chose?
I get 2/52 and 12/51, (2 red 3's and 12 face cards in the deck, not replacing leaves you with 51) then i get lost!
Thanks!
Found 2 solutions by rfer, scott8148:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
good so far
2/52*12/51=24/2652=2/221

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
how many sets of 2 cards can be drawn from the 52 card deck? ___ order is NOT a factor ___ 52C2

how many sets of red 3/face card are there? ___ 2 * 12 or 24

so the probability is ___ 24 / 52C2 = (24 * 2) / (52 * 51) = 4 / 221