SOLUTION: the cards are dealt from a well shuffled deck without replacement. find the probability that: all are face cards two are diamonds and one is face card none is an ace card

Algebra ->  Probability-and-statistics -> SOLUTION: the cards are dealt from a well shuffled deck without replacement. find the probability that: all are face cards two are diamonds and one is face card none is an ace card      Log On


   



Question 1132540: the cards are dealt from a well shuffled deck without replacement. find the probability that:
all are face cards
two are diamonds and one is face card
none is an ace card

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
there are 12 face cards in a deck of 52
:
there are 13 diamonds in a deck of 52
:
there are 4 aces in a deck of 52
:
1) 12/52 * 11/51 * 10/50 = 3/13 * 11/51 * 1/5 = 33/3315 = 11/1105 is approximately 0.01
:
2) 13/52 * 12/51 * 12/50 = 1/4 * 4/17 * 6/25 is approximately 0.0141
:
3) 48/52 * 47/51 * 46/50 = 12/13 * 47/51 * 23/25 is approximately 0.7826
: