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Maths Statistics Dice Investigation

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Introduction

Maths Statistics Coursework Introduction: You are trying to make money by selling a game to friends. Each person pays a �1 for one throw of the dice. If they throw a 6 they win �10 - Investigate 1 2 3 4 5 6 14 5 7 6 8 10 From the table I can see that if I played the game for real I would be loosing more money than I was making. There would be a 1/6 chance of winning which means that for every �6 I made I would pay out �10. To make the game more profitable I am going to design another one using one dice. The game is "You throw the dice and if you get a 1 you win �5" Dice number 1 2 3 4 5 ...read more.

Middle

To try to make a even bigger profit with this game I am going to make a totally different game with two dice. You throw the first one and you have to get a higher one to win, you pay �2 a go and win �5 if you role a higher number Win 15 Loose 75 From this game you can see that you would make a profit testing the game showed that for every 100 goes you would make a profit of �75. To work out the probability for this you can draw a tree diagram The probability for winning in that game is 15/36 this means that statically for every 36 players 15 of them would be winners. ...read more.

Conclusion

1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 From the above table it shows that the probability of getting a consecutive number is 5/36, which means every 36 players 5 of them, would be winners. With the players paying �1 you would make �36 and pay out �25. I found out that the last game I created the consecutive number would make the most money this happened when I was testing and statically it was correct. When testing it came out that I would make �35 out of every 100 games and statistically I would make �1 out of every 36 games. ...read more.

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