SOLUTION: A person removes two aces and a king from a deck of 52 playing cards, and draws, without replacement, two more cards from the deck. Find the probability that the person will draw

Algebra ->  Probability-and-statistics -> SOLUTION: A person removes two aces and a king from a deck of 52 playing cards, and draws, without replacement, two more cards from the deck. Find the probability that the person will draw      Log On


   

Question 1157710: A person removes two aces and a king from a deck of 52 playing cards, and draws, without replacement,
two more cards from the deck. Find the probability that the person will draw two aces, two kings, or an ace and then a king. (In that last case, the ace is first, and the king is second.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


So there are 49 cards left in the deck....

P(ace, ace) = (2/49)(1/48) = 2/2352
P(king, king) = (4/49)(3/48) = 12/2352
P(ace, king) = (2/49)(4/48) = 8/2352

P(any one of those three outcomes) = 22/2352

Simplify or convert to decimal if required.