1. When a ball hits each peg, the probabilities of it bouncing left or right are respectively:
- A. Left $70\%$, Right $30\%$
- B. Left $50\%$, Right $50\%$
- C. Depends on the momentum of the ball
- D. Depends on the number of surrounding balls
Back to Experiment
Galton Board - Practice
Progress1 / 10
When a ball hits each peg, the probabilities of it bouncing left or right are respectively:
Galton Board - Practice - Quiz Questions
Test your understanding of the Galton Board experiment, the Normal Distribution, and the Law of Large Numbers through the following exercises.
2. After thousands of balls have fallen, the distribution curve at the bottom is known as the:
- A. Arithmetic curve
- B. Exponential decay curve
- C. Bell curve (Normal Distribution)
- D. L-shaped curve
3. [Calculation] If a ball passes through $10$ layers of pegs, the probability of it falling to the right every single time (landing in the far-right bin) is:
- A. $1/10$
- B. $1/20$
- C. $(1/2)^{10}$
- D. $50\%$
4. What does the 'Central Limit Theorem' tell us in statistics?
- A. Balls will definitely fall to the center due to gravity.
- B. As long as there are enough balls, the distribution of the mean tends toward a normal distribution, regardless of the original distribution.
- C. The more pegs there are, the less randomness there is.
- D. Experimental results will lean in the direction Galton preferred.
5. In a 'controlled variable' experiment, if we want to investigate the impact of the 'number of rows' on the width of the curve, we should:
- A. Change the number of rows while keeping the total number of balls and other parameters constant.
- B. Change both the number of rows and the total number of balls at the same time.
- C. Only change the total number of balls while keeping the number of rows constant.
- D. Adjust parameters randomly.
6. True or False: The more balls fall into the bins at the bottom, the closer the simulated bin distribution will be to the smooth red theoretical curve.
- True
- False
7. In the Galton Board, the falling path of each ball can be seen as a random walk. This path is:
- A. Completely and precisely calculable in advance.
- B. Something with 'memory', where balls avoid previous balls.
- C. A perfect combination of micro-level randomness and macro-level order.
- D. Guided by the magnetic field of the pegs.
8. If the board is tilted so that the probability of a ball falling left becomes $70\%$ and right becomes $30\%$, the curve at the bottom will:
- A. Still be highest in the exact center.
- B. Shift to the left overall, while still showing bell-shaped characteristics.
- C. Become a straight line.
- D. Jump randomly without any pattern.
9. Galton himself described this experimental result as the 'spontaneous generation of some invisible order.' In reality, this corresponds to:
- A. Winning patterns in casinos.
- B. Distribution patterns of human heights.
- C. Patterns of traffic congestion.
- D. All of the above.
10. True or False: In a Galton Board, it is absolutely impossible for any bin at the bottom to have no balls fall into it.
- True
- False