Problem 44951. Verify Law of Large Numbers
If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,...N i.e. the expected value of one die. For example, the expected value of a 6-sided die is 3.5.
Given N, simulate 1e8 N-sided dice rolls by creating a vector of 1e8 uniformly distributed random integers. Return the difference between the mean of this vector and the mean of integers from 1 to N.
Solution Stats
Problem Comments
-
19 Comments
Show
16 older comments
竞锴
on 3 Feb 2024
让我想到伯努利大数定律。
Zehui
on 30 Nov 2024
It is important to understand, remember and distinguish between the use of some similar functions.
Xinghang
on 14 Jan 2025
It is important to understand the question meaning
Solution Comments
Show commentsGroup

High School Challenge
- 50 Problems
- 98 Finishers
- Times 2 - START HERE
- Add two numbers
- Laws of motion 3
- Laws of motion 6
- Force and Motion 2
- Force and Motion 3
- Velocity Conversion
- Potential energy calculation
- An Ohm's Law Calculator
- Electrical Diode Current Calculation
- Resistance of a light bulb
- Calculate Parallel Resistance
- Current through resistor
- Energy Conversion 2
- Mass Conversion 1
- Convert from Fahrenheit to Celsius
- Return area of square
- Area Conversion 1
- Create times-tables
- Triangle Numbers
- How long do each of the stages of the rocket take to burn?
- Finding Perfect Squares
- Magnitude of Balancing Force
- Mechanical Advantage of a Gear Train
- Calculate load on arm 1
- Find the mass of a rod
- Find the force required to support a lever
- Coefficient of Kinetic friction
- Calculate the acceleration of a crate
- Coefficient of Sliding Friction
- Coefficient of Static friction
- Linear Motion 1
- Linear Motion 2
- Linear Motion 3
- Linear Motion 4
- Linear Motion 5
- Linear Motion 6
- Linear Motion 7
- Basic Mathematics 1
- Basic Mathematics 2
- Basic Mathematics 3
- Basic Mathematics 4
- Basic Mathematics 5
- Basic Mathematics 6
- Basic Mathematics 7
- Basic Mathematics 8
- Resistance of a robot
- Voltage in a lamp
- Resistance in a circuit
- Calculate supply voltage and total current
Problem Recent Solvers11135
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!