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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
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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:

  1. 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.

  2. 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).

  3. 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).

  4. 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.

  5. 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.

This problem has been solved

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