W1292 Useful Randomness
From Coder Merlin
Revision as of 20:13, 24 March 2019 by Chukwuemeka-tinashe (talk | contribs) (Created page with "thumb|Random Bitmap == Prerequisites == == Research == * [https://en.wikipedia.org/wiki/Random_number_generation Random Number Generation] * [http:/...")
Within these castle walls be forged Mavens of Computer Science ...
— Merlin, The Coder
Prerequisites[edit]
Research[edit]
Background[edit]
The value of pi can be calculated by:
- Randomly throwing "darts" at a unit circle
- Counting the total number of "darts", N
- Counting the number of "darts" that fall within the unit circle, C
- An estimate of π is the ratio C/N
Exercises[edit]
- Estimate the value of π by performing the above experiment
- Throw 100 darts. What result do you obtain?
- Throw 1000 darts. What result do you obtain? How is this different from your previous result?
- How many digits are you able to accurately estimate π by varying N?
- How important is it that the dart be "thrown" randomly?
