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Name: Faith Hope Unit 3a Activity: Applications of Probability 25 points Directions: Complete each of the following questions by showing all work. Answers alone will not earn you ANY credit. You may either handwrite your work and answers and scan in your worksheet and submit as a SINGLE file or type your work and answers and submit the file. Please submit to the dropbox by the due date and time as shown on the course schedule. 1. In a dice game the amount of money you win depends on the sum of the two dice. (8 points) a. What is the probability that 2 dice will sum to “2”? (Hint:the sample space for rolling two dice can be found on page 260 of your textbook, in figure 2. Hint 2: find the sum of each roll in the sample space.) 1/36 b. Fill in the following probability distribution for the sum of 2 dice: Su m 2 3 4 5 6 7 8 9 10 11 12 Pro b 1/36 2/36 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36 1/36 c. Suppose you win $3 if you roll a sum of 2, 3, 4, or 5, you lose $15 if you roll a sum of 6, 7 or 8, and you win $5 if you roll a sum of 9, 10, 11, or 12.
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