• Two dice are rolled. What is the probability of getting a sum equals 10? Probability = (Round to 4 decimal places)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Interactive Dice Probability Exercise**

Two dice are rolled. What is the probability of getting a sum equal to 10?

**Probability Calculation:**

The image above shows a 6x6 grid representing all possible outcomes when rolling two six-sided dice (36 outcomes in total). Each die has six faces, numbered from 1 to 6.

To find the probability of obtaining a sum of 10, we must identify all combinations where the sum of the dice equals 10. These combinations are highlighted in red on the grid:

- Die 1 shows 4, Die 2 shows 6: (4,6)
- Die 1 shows 5, Die 2 shows 5: (5,5)
- Die 1 shows 6, Die 2 shows 4: (6,4)

These are 3 successful outcomes.

**Probability = (Number of Successful Outcomes) / (Total Possible Outcomes)**

Thus, the probability = 3/36.

**Probability = 0.0833** (rounded to 4 decimal places).

Please enter the probability above for verification.
Transcribed Image Text:**Interactive Dice Probability Exercise** Two dice are rolled. What is the probability of getting a sum equal to 10? **Probability Calculation:** The image above shows a 6x6 grid representing all possible outcomes when rolling two six-sided dice (36 outcomes in total). Each die has six faces, numbered from 1 to 6. To find the probability of obtaining a sum of 10, we must identify all combinations where the sum of the dice equals 10. These combinations are highlighted in red on the grid: - Die 1 shows 4, Die 2 shows 6: (4,6) - Die 1 shows 5, Die 2 shows 5: (5,5) - Die 1 shows 6, Die 2 shows 4: (6,4) These are 3 successful outcomes. **Probability = (Number of Successful Outcomes) / (Total Possible Outcomes)** Thus, the probability = 3/36. **Probability = 0.0833** (rounded to 4 decimal places). Please enter the probability above for verification.
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