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Make a probability distribution for the given set of events. The sums that appear when two fair four-sided dice (tetrahedrons) with sides 2, 3, 4, and 5 are tossed Complete the probability di Sum Probability Sum 4 8 9 5 6 1000 7 (Type simplified fractions.) balan Chapter Contents Probability ☐☐☐

Make a probability distribution for the given set of events. The sums that appear when two fair four-sided dice (tetrahedrons) with sides 2, 3, 4, and 5 are tossed Complete the probability di Sum Probability Sum 4 8 9 5 6 1000 7 (Type simplified fractions.) balan Chapter Contents Probability ☐☐☐

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 14CR
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### Probability Distribution for Sums of Two Four-Sided Dice #### Problem Statement Create a probability distribution for the specified set of events: Determine the sums that appear when two fair four-sided dice (tetrahedrons) with sides numbered 2, 3, 4, and 5 are tossed. #### Probability Distribution Table Complete the probability distribution below. Type simplified fractions. | Sum | Probability | Sum | Probability | |-----|-------------|-----|-------------| | 4 | | 8 | | | 5 | | 9 | | | 6 | | 10 | | | 7 | | | | *(Type simplified fractions.)* --- ### Explanation 1. **Probability Calculation Method**: - The dice have values 2, 3, 4, and 5. - Calculate all possible sums when two such dice are tossed. - Determine the probability for each possible sum. 2. **Steps to Complete the Table**: - List all possible combinations of sums (e.g., 2+2, 2+3, 2+4, etc.). - Count how many times each sum appears. - Divide by the total number of possible outcomes (since each die has 4 sides, there are \(4 \times 4 = 16\) possible outcomes). This table serves to methodically determine the likelihood of each sum when rolling the described dice, which is foundational in understanding discrete probability distributions in educational settings.
Transcribed Image Text:### Probability Distribution for Sums of Two Four-Sided Dice #### Problem Statement Create a probability distribution for the specified set of events: Determine the sums that appear when two fair four-sided dice (tetrahedrons) with sides numbered 2, 3, 4, and 5 are tossed. #### Probability Distribution Table Complete the probability distribution below. Type simplified fractions. | Sum | Probability | Sum | Probability | |-----|-------------|-----|-------------| | 4 | | 8 | | | 5 | | 9 | | | 6 | | 10 | | | 7 | | | | *(Type simplified fractions.)* --- ### Explanation 1. **Probability Calculation Method**: - The dice have values 2, 3, 4, and 5. - Calculate all possible sums when two such dice are tossed. - Determine the probability for each possible sum. 2. **Steps to Complete the Table**: - List all possible combinations of sums (e.g., 2+2, 2+3, 2+4, etc.). - Count how many times each sum appears. - Divide by the total number of possible outcomes (since each die has 4 sides, there are \(4 \times 4 = 16\) possible outcomes). This table serves to methodically determine the likelihood of each sum when rolling the described dice, which is foundational in understanding discrete probability distributions in educational settings.
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