For each of the 4 Games Fair games (three prize roller, word scramble, marble draw, ten spinner - which is really 10 sections where each has a 30% chance of being green) suggest an improvement to the rules andjustifywhy you have suggested that and what the change in expected value would be. Your improvement could be changing the point outcomes to make the game more appealing or a change in the game itself keeping the same theme. For example, for the Ten Spinner game in the Games Fair, you could change it to 8 or 12 sections.

Rewards are issued according to the table below. 0 Green: 15 points 1 Green: 10 points 2 Green: 0 points 3 Green: 0 points 4 Green: 5 points 5 Green: 20 points 6 Green: 50 points 7 Green: 70 points 8 Green: 500 points 9 Green: 10 000 points 10 Green: 100 000 points m Green Sector Spinner 83 Welcome FF 0 Dccureme Frequency You have 927 points #Greens Frequency 0 0 1 3 2 4 3 7 4 14 s a 6 4 8 1 7 0 9 0 10 0 Word Scramble Instructions It costs you 10 points to scramble the tiles. Click the "Scramble" button to scramble the tiles. Depending on how many letters are in the correct spot, a prize is awarded Only 1st letter in the correct position: Win 0 Only 2nd letter: Win 5 Only 3rd letter: Win 10 Only 4th letter: Win 15 2 Letters including the first: Win 20 2 letters not including the first: Win 25 5 All 4 letters: Win 40 ' Three Prize Roll ' ' Welcome Name You have 978 points. occurence Fr Instructions 1 Each roll of the die costs 10 points. - 10 points if you roll a two, - 20 points ifyou roll a four, or - 28 points if you roll a six. Marble Draw Instructions N. 15 marbles are in the bag, 7 of them are red. Draw 4 marbles without replacement, at a cost of 10 points. Total Occurrence Rewards are given for: Draw 4 0 red: 30 points Marbles Frequency Red 0 1 red: 10 points 2 red: 0 points Play Again? Black 0 3 red: 20 points 4 red: 50 points Got it. Marble Draw Welcome FF i You have 867 points. Total Occurrence Frequency Red 6 Play Again? Black 6 Sorry