3.  Objective: In the game “Win to spin”, the winning player will be the one that accumulates the most of the points by spinning the spinner and hoping it will not land on the horrifying number 11. If you win your price is to receive an amount of 4,000 pesos. In the game players take turns in tossing a spinner and adding their results. A player is stopped once he hits 11. The players will spin and accumulate points according to the following instructions:

4.  The participants decide who will play first. The first player will spin the clock and announce the results. The player will write down that number. The second player will spin the clock again, announce the results and write his number down.  The third player will spin the clock again, announce the results and write his number down. The fourth player will spin the clock again, announce the results and write his number down. Same procedure will apply to a fifth player.

5.  Each player will spin the clock again and add his result to the previous score. Continue playing and accumulating points. Players may continue to accumulate points, but when the number 11 is spun, the person that spun 11 loses that round and can’t continue spinning.  The player who spun the number 11 losses all his points.  Play continues for 10 rounds or until all players hit 11, which would be very rare. The player with the highest score wins the game.

6.  Each player needs to pay an amount of 2,000 pesos to play 1 game. At the end the winner receives 4,000 pesos. If on average there are 4 players playing and there are 30 games played in one afternoon the school will receive 120,000 pesos for the carnival..

7.  The game Spin to win can be played with 3 or 5 players, The theoretical probability to win this game if you play with at least 3 players is 1/3 or 33.3%. If you play with 4 players the probability of winning is ¼ or 25% and if you play with 5 players the probability of winning is 1/5 or 20%.  During the game the theoretical probability of not getting 11 or adding points is 11/12 or 91, 7 %. All the numbers have the same theoretical probability. The theoretical probability of spinning 11 is 1/12 or 8, 33%.  With the annex results we can conclude that the experimental probability is not the same as the theoretical probability. Maria won 3 out of 4 games or 75% of the games. By experimental probability there were also some players that even they did not win just one time obtaining an experimental probability of zero.

8. The probability of you loosing in the first spin is calculated by the following; If there are 4 people playing; you have ¼ possibilities to spin 11 in the first round; in the game we also have 1/12 possibilities to get 11 and with this info we can conclude that you can have 1/48 possibilities to spin 11 in your first turn. 1/4 + 1/12 = 1/48. 1out of 4 players 1 out of 12 chances to get 11 1 of 48 chances to spin 11 in the first round.

9. Roundplayer 1player 2player 3player 4player 5 NameMariaLuisaAndresFelipeManuela 121021 2612471 3 21167 49959 5110 3 651262 7110411 81123 97111 1087 Total51Player lost player lost50Player lost Roundplayer 1player 2player 3player 4player 5 NameMariaLuisaAndresFelipeManuela 1412217 263986 3 8661 41 11 3 5962 6955 742 84 91 101 Total51 Player lost Roundplayer 1player 2player 3player 4player 5 NameMariaLuisaAndresFelipeManuela 1412217 263986 3 8661 41 11 3 5962 6955 742 84 91 101 Total51 Player lost Roundplayer 1player 2player 3player 4player 5 NameMariaLuisaAndresFelipeManuela 1116121 226735 3106367 4711899 511283 6561012 7 5910 86985 97774 671 Total61 Player lost697957

10. NumberTotal times spun 1 5 2 1 3 3 4 1 5 4 6 7 7 7 8 3 9 4 10 4 11 1 12 3 By analyzing the table above we can see that the experimental probability differs from the theoretical probability. All numbers should have appeared the same number of times in 10 rounds however some numbers like number 11 only appeared once while other numbers like 6 and 7 appeared 7 times, Some numbers are more likely to have that others. Total points! Maria: 216 ------------ Luisa: 64 Andy: 69 Felipe 204 Manu: 57 Total points! Maria: 216 ------------ Luisa: 64 Andy: 69 Felipe 204 Manu: 57