Transcript Created by Charles Jenkins DICE WARS! Dice Wars is a cross between the classic card game of War and the board game Risk.

Created by Charles Jenkins
DICE WARS!
Dice Wars is a cross between the classic card game of War and
the board game Risk (without the board!). Players try to capture
their opponents dice by rolling against each other.
Explaining the rules can be confusing, but playing the game itself
is quite easy. All you need is two people and four dice, and
you’re ready to go!
RULES
Object of the game:
• To capture your opponent’s dice!
Instructions:
1. Both players roll two dice. The higher die of each player are
compared. Whoever has the higher die captures their
opponent’s die. The other two dice are compared and the
winner captures the lower die. A player can now have
anywhere from zero to four dice. No dice are captured in the
event of a tie.
2. Players again roll all of their dice and compare each player’s
highest dice, and in the case both players still have two dice
each, their other dice are compared.
3. The first player to capture all four dice wins!
Sample Game
1. Player A and Player B start out with 2 dice each.
2. Both players roll both dice.
Player A rolls:
Player B rolls:
3. Player A wins one of Player B’s dice because four beats three.
4. But Player B also wins one of Player A’s dice because two
beats one.
5. Both players still have two dice.
Sample Game
6. Both players roll again.
Player A rolls:
Player B rolls:
7. This time the two highest dice are both three, so neither
player captures those any die.
8. But Player A does win one of Player B’s dice because two
beats one.
9. Now Player A has three dice and Player B only has one.
Sample Game
10. Both players roll again.
Player A rolls:
Player B rolls:
11. Player A captures Player B’s remaining die because six is
higher than three. Because Player A only uses his highest
die, his other two dice are not compared to any other dice.
12. Player A wins because he has captured all 4 dice!
1. Is this game fair?
Fair?
This game starts off fair because both players are rolling two
dice. As soon as a player captures a die, however, they has an
advantage because they are now rolling three dice to one.
2. How can we measure if the game is fair?
We must look at all of the possible combinations. We know
with one die, there are 6 possible outcomes. When we have
two dice, there are 36 possible outcomes. In Dice Wars, we’re
always playing with four dice for a totally of 1296 outcomes
(64)! Because the dice are compared to one another, there is
no simple math formula to figure out the probability, so I had to
list out all of the possible combinations.
Fair?
2 Dice vs. 2 Dice
Since both “A and B Split” and
“Both Tie” have the same
outcome (both players still have
2 dice each), the total
probability of this outcome is
133/648 or 20.52%
Event
Occurrence
Probability
A wins 2
295
295/1296
22.76%
B wins 2
295
295/1296
22.76%
A and B Split
200
25/162
15.43%
A wins and Ties
220
55/324
16.98%
B wins and Ties
220
55/324
16.98%
66
11/216
5.09%
Both Tie
3 Dice vs. 1 Dice
Event
Occurrence
Probability
A Wins
855
855/1296
65.97%
B Wins
225
25/144
17.36%
Tie
216
1/6
16.67%
As you can see, when Player A
rolls 3 dice, he has a huge
advantage over player B!
Fair?
A total list of the permutations can be found in the attached Excel
spreadsheet.
Thanks for watching.
Have fun playing!