Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. a. How many sample points are possible? (Hint: Use the counting rule for multiple-step experiments.) b. Select the sample points. Numbers from the left side of the boxes are the face values showing on the first dice. Numbers from above the boxes are the face values showing on the second dice. Numbers inside the boxes are the total for both. 1. Dice 2 1 2 3 4 5 6 1 2 3 4 5 6 7 3 4 5 6 7 8 3 4 5 6 7 8 9 Dice 1 4 5 6 7 8 9 10 5 6 7 8 9 10 11 | 7 8 9 10 11 12 Dice 2 Dice 2 1 2 3 4 5 6 1 2 3 4 5 6 7 Dice 1 6 7 8 9 10 11 12 Dice 2 1 2 3 4 5 6 12 11 10 9 8 7 11 10 9 8 7 6 3 10 9 8 7 6 5 Dice 1 4 9 8 7 6 5 4 58 7 6 5 4 3 6 7 6 5 4 3 2 Dice 2 1 2 3 4 5 6 1 1 2 3 4 5 6 2 4 6 8 10 3 6 9 Dice 1 4 4 8 12 16 20 5 5 10 15 20 25 6 12 18 24 30 36 - Select your answer - c. What is the probability of obtaining a value of 2 (to 3 decimals)? d. What is the probability of obtaining a value of 8 or greater (to 3 decimals)? e. Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? - Select your answer - Explain. - Select your answer - f. What method did you use to assign the probabilities requested? - Select your answer - Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum of the face values showing on the dice. a. How many sample points are possible? (Hint: Use the counting rule for multiple-step experiments.) b. Select the sample points. Numbers from the left side of the boxes are the face values showing on the first dice. Numbers from above the boxes are the face values showing on the second dice. Numbers inside the boxes are the total for both. 1. Dice 2 1 2 3 4 5 6 1 2 3 4 5 6 7 3 4 5 6 7 8 3 4 5 6 7 8 9 Dice 1 4 5 6 7 8 9 10 5 6 7 8 9 10 11 | 7 8 9 10 11 12 Dice 2 Dice 2 1 2 3 4 5 6 1 2 3 4 5 6 7 Dice 1 6 7 8 9 10 11 12 Dice 2 1 2 3 4 5 6 12 11 10 9 8 7 11 10 9 8 7 6 3 10 9 8 7 6 5 Dice 1 4 9 8 7 6 5 4 58 7 6 5 4 3 6 7 6 5 4 3 2 Dice 2 1 2 3 4 5 6 1 1 2 3 4 5 6 2 4 6 8 10 3 6 9 Dice 1 4 4 8 12 16 20 5 5 10 15 20 25 6 12 18 24 30 36 - Select your answer - c. What is the probability of obtaining a value of 2 (to 3 decimals)? d. What is the probability of obtaining a value of 8 or greater (to 3 decimals)? e. Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often than odd values. Do you agree with this statement? - Select your answer - Explain. - Select your answer - f. What method did you use to assign the probabilities requested? - Select your
