Maths and Computing:

Dice

Dice selection

• Up to four different dice can be chosen from a D4, D6, D8, D10, D12 or D20
• The following probabilities based on the sum of the dice are displayed:
  • The minimum value
  • The maximum value
  • The mean value
• A table showing the number of ways of achieving each possible outcome is displayed

Roll

Random roll results for the selected dice are generated each time the "Roll" button is selected

Calculator

Works out the probability of a given scenario using the comparison operators: =|>|≥|<|≤|≠

• A result of a roll of a die compared to a value
• A result of a roll of a die compared to the result of a roll of another die
• The sum of the results of 1-3 dice compared to a value
• The minimum of the results of 1-3 dice compared to a value
• The maximum of the results of 1-3 dice compared to a value

The workings a detailed in the "Workings" tab and a list of the calulations performed detailed in the "Log" tab

Functions

MIN

Format: MIN(Da ... Dn) = value

Calculates the probability of the specified maximum value when rolling up to four different dice

If PGE(x) is the probability that the values rolled by each die is greater than or equal to x, then the required probability is:

PGE(x) - PGE(x+1)

MAX

Format: MAX(Da ... Dn) = value

Calculates the probability of the specified maximum value when rolling up to four different dice

If PLE(x) is the probability that the values rolled by each die is less than or equal to x, then the required probability is:

PLE(x) - PLE(x-1)

SUM

Format: SUM(Da ... Dn) = value

Calculates the probability of the specified sum value when rolling up to four different dice

If N(x) is the number of ways of achiving the required outcome, then the required probability is:

N(x) ÷ (Product of the number of sides of each die)

Workings for: