Also known as a rectangular distribution. The **uniform distribution** lies between two values on the x-axis. The total area is equal to 1.0 or 100% within the rectangle. There are not any peaks, valleys, or slopes.

A regular (and fair) six-sided die is a good example because each of the six sides has an equal probability of occurring. Each side has a 1/6 chance of occurring each time. There is *replacement* each roll.

The same would apply for a roulette wheel...assuming the wheel is fair. Ignoring the green numbers of 0 and 00 depending on whether the game is American or European, there are 36 numbers. Each of the numbers has the same 1/36 chance of occurring. Again, there is *replacement* after each spin.

Assume "k" equals the number of different values that can occur and each value has the same chance and that chance remains constant, then P = 1/k.

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