Estimating Pi - Monte Carlo Method (Part 2) #estimatepi

Similar to Part 1 video, we utilize Monte Carlo simulations to estimate the Pi number. This time we again perform the experiment of dropping N needles onto a square and counting the ones inside the circle but we also repeat it many times to see the distribution of the approximated values. The mean of the distribution gets closer with increasing number of trials. The variance of the distribution is smaller if more number of needles is utilized.

The video is inspired from a talk given by MIT Professor John Guttag within MITx - 6.00.2x.

For estimating it using Archimedes' Method see:

0:00 Introduction
0:01 Estimating Pi Monte Carlo Method - Part 2
0:14 Start with 100 needles
1:19 Now with 500 needles
2:18 Now with 1000 needles
3:17 Now with 2000 needles
4:16 Now with 5000 needles
5:15 Let's see the histograms for different number of needles

#pi #estimatepi #pinumber