llowing table shows the number of ways of getting each sum when you roll two dice (Ex: 1 & 2 or 2 & 1 gives you a sum of 3, so there are 2 possible ways to get a sum of 3). Let X represent the sum of the two dice. Sum # of Possibilities Sum # of Possibilities 2. 2 1 8 5 3 2 9 4 4 3 3 10 2 5 11 Write that X is at least 9 using symbols 4 12 1 6 5 7 6

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The following table shows the number of ways of getting each sum when you roll two dice (e.g., rolling a 1 and 2 or a 2 and 1 gives you a sum of 3, so there are 2 possible ways to get a sum of 3). Let \( X \) represent the sum of the two dice.

### Table 1: Possible Sums and Their Frequencies (2 to 7)
| Sum | 2 | 3 | 4 | 5 | 6 | 7 |
|-----|---|---|---|---|---|---|
| # of Possibilities | 1 | 2 | 3 | 4 | 5 | 6 |

### Table 2: Possible Sums and Their Frequencies (8 to 12)
| Sum | 8 | 9 | 10 | 11 | 12 |
|-----|---|---|----|----|----|
| # of Possibilities | 5 | 4 | 3 | 2 | 1 |

### Questions:
a. Write that \( X \) is at least 9 using symbols.

b. Find the number of possibilities where the sum is at least 9.
Transcribed Image Text:The following table shows the number of ways of getting each sum when you roll two dice (e.g., rolling a 1 and 2 or a 2 and 1 gives you a sum of 3, so there are 2 possible ways to get a sum of 3). Let \( X \) represent the sum of the two dice. ### Table 1: Possible Sums and Their Frequencies (2 to 7) | Sum | 2 | 3 | 4 | 5 | 6 | 7 | |-----|---|---|---|---|---|---| | # of Possibilities | 1 | 2 | 3 | 4 | 5 | 6 | ### Table 2: Possible Sums and Their Frequencies (8 to 12) | Sum | 8 | 9 | 10 | 11 | 12 | |-----|---|---|----|----|----| | # of Possibilities | 5 | 4 | 3 | 2 | 1 | ### Questions: a. Write that \( X \) is at least 9 using symbols. b. Find the number of possibilities where the sum is at least 9.
Expert Solution
Step 1

Given,

sum 2 3 4 5 6 7 8 9 10 11 12

# of

possibilities

1 2 3 4 5 6 5 4 3 2 1
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