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 day$$s

behavior, what is the probability that on Friday Kate says $$Good morning$$ to

her coworkers? Express your answer as a common fraction.