Joan tries to solve a really hard problem once each day.  She has a 1/4 probability of solving it each day.  What is the probability that she will solve it before her sixth try?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Joan tries to solve a really hard problem once each day.  She has a 1/4 probability of solving it each day.  What is the probability that she will solve it before her sixth try?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{781}{1024}
Joan tries to solve a really hard problem once each day.  She has a 1/4 probability of solving it each day.  What is the probability that she will solve it before her sixth try?
train