Difference between revisions of "2023 SSMO Relay Round 4 Problems/Problem 1"
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Latest revision as of 22:29, 15 December 2023
Problem
Martha starts out with the number 
on her calculator, which has three buttons that multiply the current number by 
, 
, and 
respectively. She randomly presses one of the buttons four times. After these 
presses, she cubes the number. The expected value of the final number is 
for relatively prime positive integers 
and 
Find 
