Question: Each workday when Kate arrives at the office, she does one of the following: either Kate says Good morning to her coworkers, or Kate says

Each workday when Kate arrives at the office, she does one of the following:
either Kate says Good morning to her coworkers, or Kate says nothing to her
coworkers. On Monday, Kate says Good morning to her coworkers. If on each
subsequent day there is a 75% chance that she will repeat her previous days
behavior, what is the probability that on Friday Kate says Good morning to
her coworkers? Express your answer as a common fraction.

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