SOLUTION: Three cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second and third cards are hearts if the first card was a he
Algebra ->
Probability-and-statistics
-> SOLUTION: Three cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second and third cards are hearts if the first card was a he
Log On
Question 377968: Three cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second and third cards are hearts if the first card was a heart? Found 3 solutions by stanbon, richard1234, filboi:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Three cards are drawn without replacement from an ordinary deck of 52 playing cards. What is the probability that the second and third cards are hearts if the first card was a heart?
---------------------------
51 cards remain
12 hearts remain
----
P(2nd and 3rd are hearts) = 12C2/51C2 = 0.0518..
-------------
Cheers,
stan H.
You can put this solution on YOUR website! Stan, keep in mind that one heart had already been chosen, so 11 hearts remain. The answer I got was 11C2/51C2 = .0431...
(also, I used permutations since the order mattered but in this case, the numerical value remained the same)
(
