SOLUTION: two cards are randomnly selected from 52 card deck. what is the probability that the draw will yield an ace and a face card

Algebra ->  Probability-and-statistics -> SOLUTION: two cards are randomnly selected from 52 card deck. what is the probability that the draw will yield an ace and a face card      Log On


   



Question 353756: two cards are randomnly selected from 52 card deck. what is the probability that the draw will yield an ace and a face card
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
P(ace)=4%2F52
P(face)=12%2F51=4%2F17
P(ace and face)=%281%2F13%29%284%2F17%29=4%2F221

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
two cards are randomnly selected from 52 card deck. what is the probability that the draw will yield an ace and a face card
-----------------------
Assuming there is no replacement:
P(ace and face) = P(ace|face)*P(face) = 4/51*12/52 = 1/17 * 4/13 = 4/221
--------------------------------------
Cheers,
Stan H.