Three cards are randomly selected, one at a time (without return), from a standard deck of 52 cards. What is the probability that all three cards are hearts? (Answer in lowest terms).	Choose the correct choice from the following answers:
A) 11/850 B) 1/4 C) 1/16 D) 1/107 E) 20/21
A standard deck has 52 cards of which 1/4 are hearts, so the probability of getting a heart is P(H) = 1/4 on the first selected card.   Because selection is (without return), the P(H) has changed for following selections. Now, there are 51 cards and number hearts is dependent upon whether first card was a heart, or not... and so on.... Therefore, conditional probability! The probability that event B occurs, given that event A has already occurred is:   Formula = P(A\B) = P(A and B)/P(B).   P(11/850\B) = (13/52)(12/51)(11/50) = 1716/132600 = 11/850   11/850nswer: 11/850
<result>A</result>
Three cards are randomly selected, one at a time (without return), from a standard deck of 52 cards. What is the probability that all three cards are hearts? (Answer in lowest terms).