Is it 1 100 \frac{1}{100} ?

True or False?

Consider the set of a hundred 1's that are written on a blackboard, you may choose any two numbers x x and y y and replace them with ( x + y ) / 4 (x +y)/4 . Repeating this 99 times, until only one number remains. Then the final number will be larger than 0.01.

False, always It can be true, it can be false True, always

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