Math Problem Statement
Solution
The question asks for the probability of rolling the same number on both dice, using the provided grid of all possible outcomes.
Step-by-Step Solution:
-
Count Total Possible Outcomes:
The grid shows total possible outcomes (since each die has 6 sides). -
Count Favorable Outcomes:
Rolling the same number on both dice corresponds to the diagonal entries where .
There are 6 favorable outcomes. -
Calculate the Probability:
Probability .
Thus, .
Final Answer:
The probability of rolling the same number on both dice is .
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Related Questions:
- What is the probability of rolling a sum of 7 with two dice?
- How many outcomes result in a sum less than 5?
- What is the probability of rolling at least one "1" with two dice?
- How many outcomes result in a product of the two dice being 12?
- What is the probability of rolling two numbers such that their difference is 2?
Tip:
To solve probability problems with dice, identify favorable outcomes visually from the grid to simplify calculations.
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Math Problem Analysis
Mathematical Concepts
Probability
Combinatorics
Formulas
Probability = Number of Favorable Outcomes / Total Number of Outcomes
Theorems
Basic Probability Rules
Suitable Grade Level
Grades 5-7