Three cards are dealt at random from a standard deck (13 clubs, 13 diamonds, 13 hearts, and 13 spades) of 52 cards.  What is the probability that all three cards are $\heartsuit$s?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Three cards are dealt at random from a standard deck (13 clubs, 13 diamonds, 13 hearts, and 13 spades) of 52 cards.  What is the probability that all three cards are $\heartsuit$s?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{11}{850}
Three cards are dealt at random from a standard deck (13 clubs, 13 diamonds, 13 hearts, and 13 spades) of 52 cards.  What is the probability that all three cards are $\heartsuit$s?
train