Consider the experiment of rolling a pair of six-sided 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 Dice 1 1 1 2 3 4 5 6 2 2 4 6 8 10 12 3 3 6 9 12 15 18 4 4 8 12 16 20 24 5 5 10 15 20 25 30 6 6 12 18 24 30 36 2. Dice 2 1 2 3 4 5 6 1 2 3 4 5 6 Search
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Part a asks for the number of possible sample points. A six-sided die has 6 possible outcomes (1, 2, 3, 4, 5, 6). Since we are rolling a pair of dice, this is a multiple-step experiment. For the first die, there are 6 possible outcomes. For the second die, there Show more…
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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.) 36 b. List the sample points. (Hint: Each row should represents the first die, each column represents the second die. Enter your sample point as (#,#) with no spaces in between.) 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 c. When rolling 2 dice, what is the probability of obtaining the outcome (2,4)? (3 decimal places) d. When rolling 2 dice, what is the probability of obtaining a sum of 8? (3 decimal places) e. What is the probability of obtaining a sum of 11 or greater? (3 decimal places)
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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. List the sample points.
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18. Consider the experiment of rolling a pair of dice. Suppose that you 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) List the sample points. c) What is the probability of obtaining a value of 7? d) What is the probability of obtaining a value greater than 7? Because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five possible odd values (1, 3, 5, 7, 9), the dice should show even values more often than odd values. Do you agree with this statement? Explain. What method did you use to assign the probabilities requested?
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