The real brainteaser!

Level pending

'ERNIE' is a random number producer.

  • p i pi could also be said to be a random number producer, because the decimal equivalent is known to only 2000 million decimal places.

    • i.e. Nobody knows the million millionth decimal place, each digit has the same chance to be the one.

  • So, if you had a transcendental number which consists of random digits, what would be the average difference two random digits side by side?

It should be 0 + 9 2 \frac{0 + 9}{2} = 4.5

BUT IT ISN'T. What is it then?

3.3 6.6 1.65 8.25

Raj Error by Raj Error , 24, India

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1 solution

Raj Error
Feb 5, 2014

Take any 100 digits in a random number sequence. Write down all the differences between every pair of digits, you will have 99 digits. Take every possible difference in the digits, you will find 100.

Such as: 0-0 , 1-0 , 0-3 , 1-3

0-1 , 1-1 , 0-4 , 1-4

0-2 , 1-2 , etc.

Add the differences and dividing it be 100 we get 330 100 \frac{330}{100} = 3.3

2 Helpful 0 Interesting 0 Brilliant 0 Confused

this is a waste of time.

prashant goyal - 6 years, 10 months ago

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