During a game of hearts, three cards are dealt from a standard deck of cards, one at a time without replacement, find the probability thats:

A) all are kings?

B) all are red cards?

Question

During a game of hearts, three cards are dealt from a standard deck of cards, one at a time without replacement, find the probability thats:

A) all are kings?

B) all are red cards?

hartnn · Answer

how many total cards are there and out of that how many kings are there?

anonymous · Answer

4/52 reduced to 1/13

hartnn · Answer

that is the probability of getting one king from 1 deck....

hartnn · Answer

but here u are dealing 3 cards,
so for the first card to be king the probability = 4/52=1/13 as u said
now there are 51 cards and 3 kings,so the probability that 2nd card dealt is also king is 3/51
similarly,the 3rd card dealt is also king is 2/50
so overall probability is 
4/52*3/51*2/50
got this first part??

anonymous · Answer

ok i got it makes sense

hartnn · Answer

still want 2nd part?

anonymous · Answer

yeah i am not good with probability

anonymous · Answer

13/52 for reds?

hartnn · Answer

that is the probability of choosing 1 red from 52 cards
but here u are dealing 3 cards,
so for the first card to be red the probability = 13/52=1/4 as u said
now there are 51 cards and 12 red cards remaining,so the probability that 2nd card dealt is also red is 12/51
similarly,the 3rd card dealt is also red is 11/50
so overall probability is 
(13/52)*(12/51)*(11/50)
got this second part??

anonymous · Answer

i get it now i appreciate the help my friend.