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.Com
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)   (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

RELATED QUESTIONS

three cards are drawn without replacement from a well shuffled deck of 52 playing cards... (answered by ewatrrr)
Three cards are drawn without replacement from a well-shuffled deck of 52 playing cards.... (answered by stanbon)
If three cards are drawn from a shuffled standard deck of 52 cards and not replaced, what (answered by stanbon)
If one card is drawn from a well-shuffled deck of 52 playing cards, what are the... (answered by ewatrrr)
If five cards are dealt from a shuffled deck of playing cards (52 cards), what is the... (answered by Alan3354)
Three cards are drawn without replacement from a well-shuffled deck of 52 playing cards.... (answered by reviewermath)
Three cards are selected at random without replacement from a well-shuffled deck of 52... (answered by checkley77,NightMareZ)
Two cards are drawn from a well shuffled deck of 52 playing cards 1) find the... (answered by Boreal)
Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the... (answered by stanbon)