SOLUTION: 4. If three cards are drawn from a well-shuffled deck of 52 playing cards, what are the probabilities of getting a) three diamonds (b) an Ace, a Queen, a

Algebra ->  Probability-and-statistics -> SOLUTION: 4. If three cards are drawn from a well-shuffled deck of 52 playing cards, what are the probabilities of getting a) three diamonds (b) an Ace, a Queen, a      Log On


   

Question 1119071: 4. If three cards are drawn from a well-shuffled deck of 52 playing cards, what are the probabilities of getting

a) three diamonds







(b) an Ace, a Queen, and a King








Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Probability of first card's being a diamond is 13/52
second given the first is 12/51, and third given first two is 11/50
That product is 0.0129
There are 12 cards which fit that, so probability first is one of those is 12/52.
The second requires one of 8 cards, and that is 8/51. The third would be 4/50.
That product is 0.0029