Probability Riddle Using Python: Probability of First Digit Being 1

 Riddle:

What is the probability that a power of 2 begins with the digit 1?

Python Solution:

Source:

https://archive.org/details/ChallengingMathematicalProblemsWithElementarySolutionsVol1DoverYaglomYaglom/mode/2up?q=What+is+the+probability+that+a+power+of+2+begins+with+the+digit