Question

Michael is writing a program for a dice game played with three dice. The player rolls the dice and is given points according to the following algorithm. What is the algorithm for calculating the points in the dice game?

Answer 1

The algorithm for calculating points in the dice game involves finding the mean of the numbers shown on the dice after a player rolls and rounding this mean to the nearest 0.5. Additional game rules may affect the scoring based on betting and matching outcomes.

Step-by-step explanation:

The algorithm for calculating the points in the dice game where a player rolls three dice involves the calculation of the mean of the faces showing after each roll. For instance, if the player rolls the dice and the numbers on the faces are 2, 4, and 6, the calculation would be (2 + 4 + 6) / 3, giving a mean of 4.

This mean is then rounded to the nearest 0.5 to determine the points awarded for that particular roll.

Therefore, using this algorithm, if a player rolls the three dice and the faces show 2, 4, and 6, their score for that roll would be 4 after rounding.

The game may include other rules, such as betting on a particular outcome, with different payoffs for the number of matches. For example, if a player rolls the three dice and had placed a bet on a specific number or object, saying that the dice will land on 5 and the outcome of the roll is 5, 3, and 5, the player would have two matches.

This could result in a different point or profit calculation, according to the predefined payoffs in the game's rules.