2D6 added together forms what kind of distribution?LinearBell CurveComplexFulcrumHierarchal Three Dimensional
Question
2D6 added together forms what kind of distribution?
- Linear
- Bell Curve
- Complex
- Fulcrum
- Hierarchal
- Three Dimensional
Solution
The distribution formed by adding together two six-sided dice (2D6) is a triangular distribution, which is a specific type of a bell curve.
Here's the step-by-step explanation:
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Each die has 6 faces, numbered from 1 to 6. When you roll a single die, each outcome has an equal probability of 1/6. This is a uniform distribution.
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When you roll two dice and add the numbers together, the possible outcomes range from 2 (1 on each die) to 12 (6 on each die).
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However, not all outcomes are equally likely. There's only one way to roll a 2 (both dice showing 1) or a 12 (both dice showing 6). But there are multiple ways to roll a 7 (1 and 6, 2 and 5, 3 and 4, and so on).
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If you plot the number of ways to roll each possible outcome, you get a triangular shape. This is because the number of combinations for each outcome increases up to 7, then decreases in the same pattern.
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This triangular shape is a type of bell curve, also known as a normal distribution. However, it's not a perfect bell curve because the distribution is not symmetrical - it has a peak at 7 rather than being evenly spread around the mean.
So, the answer to your question is: Bell Curve.
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