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Play the following games in the Games Fair: I Three Prize Roller - Word Scramble - Marble Draw I Ten Spinner For each Games Fair game, answer the following questions: 1. Create the probability distribution in a table for all the outcomes where X is the random variable representing the number of points awarded. 2. Communicate how you arrived at the probability of each outcome. 3. What is the expected value: E00, for the game? You may include this in your table from the distribution. It the game costs 10 points to play, how much would the player expect to win or lose? 4. Create the bar graph for the Probability Distribution. Submit your work in one document created in a word processing program and spreadsheet. Take a screen capture of your charts and graphs and put them into the document. If you need to write math by hand to communicate how you arrived at your probabilities, you may take a picture of your work and insert it into the document. Save the document as a .pdf and submit it to your teacher. Instructions Each roll of the die costs 10 points. 10 points if you roll a two, 20 points if you roll a four, or 28 points if you roll a six, Got it.Three Prize Roll X Welcome s You have 1000 points. Occurence Frequency Click here to ooo ooo G UA W N- Roll DieInstructions 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 All 4 letters: Win 40 Got it\fInstructions 15 marbles are in the bag, 7 of them are red. Draw 4 marbles without replacement, at a cast of 10 points. Rewards are given for: I] red: 30 points 1 red: 10 points 2 red: 0 points 3 red: 20 points 4 red: 50 points m .' Marble Draw $3 Welcome 5 You have 1000 points. Total Occurrence Frequency Red 0 Play Again? Draw 4 Marbles Black 0 Instructions 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 Got it. 10 Green: 100 000 pointsGreen Sector Spinner Welcome s Occurence Frequency #Greens Frequency You have 1000 points. Spin the Wheel TONOGUAWNGO