Okay, but what we are given??

Probability Level 3

What is the approximate probability(in %) that the 2 raised to the power of n starts with 1?


The answer is 30.

Kartik Sharma by Kartik Sharma , 21, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Rishi Jain
Aug 7, 2014

though it was a guess.. but if you the powers upto around 30, you'll witness that there are approximately 3 numbers with 1 as their first digit in every 10 consecutive numbers of the progression

1 Helpful 0 Interesting 0 Brilliant 0 Confused

One should Benford's law! It is the directed solution.

Kartik Sharma - 6 years, 10 months ago
Kartik Sharma
Jul 24, 2014

Benford's law!!!!! Weirdest yet interesting thing!!!Check out the following to hav ea better understanding :

https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithmic-scale-patterns/v/benford-s-law-explanation--sequel-to-mysteries-of-benford-s-law

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...