Three cards are chosen at random from a standard 52-card deck.  What is the probability that they are not all the same color?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Three cards are chosen at random from a standard 52-card deck.  What is the probability that they are not all the same color?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{13}{17}
Three cards are chosen at random from a standard 52-card deck.  What is the probability that they are not all the same color?
train