Task: Unit 4 Summative Task: Games Around the World
Name of the Game: Jacy-Tacy
Country: Poland
Names of Group Mates: Somin, Ashley, Claire
I. Game Description:
Jacy-Tacy, pronounced as “Yahtzee-Tahtzee” is a traditional Polish dice game that involves
chance and probability. This edition of the game is a simplified version to make the playtime
shorter and the process of calculating probability more efficient. In this rendition, the likes of
small and large straights are removed from the game's rules.
II. Rules of the Game:
1. With an allotted number of 5, place the die into a cup and shake it around.
2. Pour the die onto the table
3. Out of the 5 dice, choose what dice you want to keep
a. There are 3 chances to roll the dice
b. After choosing what dice (or die) to keep, put the other dice in the cup and roll
again
c. After choosing what dice (or die) to keep again, put the other dice back in the cup
and pour it again
d. Since it is the last roll, get all the dice and choose what section to write the sum
on.
4. To calculate the total sum, add all of the dice values of one number. If you encounter any
of the events above, calculate only the allotted row values to mark down on the score
sheet in your designated column.
a. For example, when the five numbers are 1, 1, 5, 3, 1, you must choose 1 since it
is the list mode. 1+1+1 is 3, so in the “one” section (on the scorecard), write 3.
5. When the table is full, add all the values in each section to get the total sum.
6. The person with the biggest total number wins
III. Photos of the Game:
IV. Data Organization (Include other models & mathematical representations)
● Organize your data in a table.
●
Round Outcome P1 Outcome P2 Outcome P3
Number (Win, Lose, other (Win, Lose, other (Win, Lose, other
event) event) event)
1 2nd 3rd (lose) 1st (win)
2 1st (win) 3rd (lose) 2nd
3 2nd 3rd (lose) 1st (win)
4 2nd (tie) 1st (win) 2nd (tie)
5 3rd (lose) 2nd 1st (win)
6 3rd (lose) 2nd 1st (win)
7 3rd (lose) 2nd 1st (win)
8 3rd (lose) 2nd 1st (win)
9 3rd (lose) 2nd 1st (win)
10 2nd 1st (win) 3rd (lose)
11 2nd 3rd (lose) 1st (win)
12 2nd 3rd (lose) 1st (win)
13 2nd 1st (tie) 1st (tie)
14 2nd 3rd (lose) 1st (win)
15 3rd (lose) 2nd 1st (win)
16 1st (win) 3rd (lose) 2nd
17 1st (win) 3rd (lose) 2nd
18 3rd (lose) 1st (win) 2nd
19 2nd 3rd (lose) 1st
20 1st (tie) 1st (tie) 2nd
21 1st (win) 3rd (lose) 2nd
22 3rd (lose) 2nd 1st (win)
23 2nd 1st (win) 3rd (lose)
24 2nd 3rd (lose) 1st (win)
25 2nd 3rd (lose) 1st (win)
26 3rd (lose) 1st (win) 2nd
27 3rd (lose) 1st (win) 2nd
28 2nd 3rd (lose) 1st (win)
29 1st (win) 3rd (lose) 2nd
30 2nd 1st (win) 2nd
31 1st (tie) 1st (tie) 1st (tie)
32 2nd 3rd (lose) 1st
33 2nd 3rd (lose) 1st
34 3rd (lose) 1st (win) 2nd
35 2nd 3rd (lose) 1st (win)
36 2nd 1st (win) 3rd (lose)
37 2nd 3rd (lose) 1st (win)
38 2nd 3rd (lose) 1st (win)
39 2nd 1st (win) 3rd (lose)
40 3rd (lose) 2nd 1st (win)
41 2nd 3rd (lose) 1st (win)
42 1st (tie) 2nd 1st (tie)
43 3rd (lose) 2nd 1st (win)
44 1st (win) 2nd 3rd (lose)
45 1st (win) 3rd (lose) 2nd
46 1st (win) 2nd 3rd (lose)
47 2nd 3rd (lose) 1st (win)
48 3rd (lose) 2nd 1st (win)
49 2nd 1st (win) 3rd (lose)
50 2nd 3rd (lose) 1st (win)
V. Experimental Probability Calculations (Use the appropriate math notation for each
probability.)
Player No. of No. of No. of Experimental Experimental Experimental
Number Wins Loses Ties P(Winning) P(Losing) P(Drawing)
1 7 14 3 7/50 = 0.14 = 14/50 = 0.28 = 3/50 = 0.06 =
unlikely unlikely unlikely
2 10 23 3 10/50 = 0.2 = 23/50 = 0.46 = 3/50 = 0.06 =
unlikely unlikely unlikely
3 25 7 4 25/50 = 0.5 = 7/50 = 0.14 = 4/50 = 0.08 =
even unlikely unlikely
Experimental P(Winning) Experimental P(Losing) Experimental
P(Drawing)
All 7/50 + 10/50 + 25/50 = 14/50 + 23/50 + 7/50 = 3/50 + 3/50 + 4/50 =
Players 42/150 = 0.28 = unlikely 44/150 = 0.29 = unlikely 10/50 = 0.2 = unlikely
VI. Explain the experimental probability.
The probability of winning for all players ranges from 0.14 to 0.5 which is unlikely to even on a
probability scale. The likelihood of losing for all players ranges from 0.14 to 0.46 which is also
unlikely on a probability scale. The probability of drawing ranges from 0.06 to 0.08 which is
unlikely on a probability scale. The experimental probability from players 1, 2 and 3 shows that
the more you play the less chance you have of winning as shown in the first table. In the second
table, I added all the players’ total probabilities and showed that the likelihood of winning, losing
and tying is unlikely.
VII. Theoretical Probability Calculations (Use the appropriate math notation for each
probability.)
Theoretical P(Winning) Theoretical P(Losing) Theoretical P(Tying)
1/3 x 150 = 50 = 0.5 = even 1/3 x 150 = 50 = 0.5 = even 1/3 x 150 = 50 = 0.5 = even
VIII. Explain the theoretical probability.
Three possible outcomes are winning, losing and tying. According to theoretical theory,
all have an equal chance of happening is 1/3 which on a probability scale is unlikely. This
means there is an unlikely chance of winning, losing or tying during the game.
Probability Scale
Key
Experimental Probability
Theoretical Probability
P(Winning) P(Winning)
P(Losing) P(Losing)
P(Tying) P(Tying)
Based on the probability scale above we can see that for the experimental probability, the
probability of winning is 0.28, the probability of losing is 0.29 and the probability of tying is 0.2.
Therefore, all the probabilities can be said to be unlikely. On the other hand
IX. Conclusion
The experimental probability compares to the theoretical probability calculated earlier by the fact
that all the theoretical probabilities have an equal chance of happening is ⅓ while the
experimental probabilities show that all the outcomes are unlikely to occur. I think they are
different because 50 trials were conducted during the experimental probability, the results are
more accurate because the more trials you do the more accurate the outcomes you get.
Theoretically, we know the outcomes making theoretical probability more reliable but we do not
get accurate results from this probability. A strategy that could be used to improve the chances
of winning is to reduce the number of players which was previously three players to two players
because both will have a higher probability of a 50-50 chance thus making it even.
Reflection
● What did you enjoy most about the project? The thing I enjoyed most about this project
is that I got to collaborate with my group mates in the making of a game based on the
country we got. I also got to learn a lot about Poland since we did a lot of research
before coming across the game we chose.
● What challenges did you encounter and how did you overcome them? The challenge I
individually think we encountered are lack of choices during research. When we were
researching we couldn’t find a lot of games to choose from and we overcame that by
finally picking a game.
● How did this project help you understand the concept of probability better? I learnt how
to calculate and find probability during this project. I also learnt how to gather data to use
when finding the probability.
● Would you recommend this type of project to other students? Why or Why not? I would
recommend this project to other students because it is a good opportunity for them to
research and learn a lot through the practicality of this project.
