Math Problem Statement
A die is thrown once. Find the probability of getting a number less than 7
Solution
A standard die has six faces, numbered from 1 to 6. To find the probability of getting a number less than 7 when a die is thrown once, we need to consider the total number of possible outcomes and the number of favorable outcomes.
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Total possible outcomes: Since the die has six faces, there are 6 possible outcomes (1, 2, 3, 4, 5, and 6).
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Favorable outcomes: All the numbers on the die (1, 2, 3, 4, 5, and 6) are less than 7. So, there are 6 favorable outcomes.
The probability of getting a number less than 7 is given by the ratio of the number of favorable outcomes to the total number of possible outcomes:
Substituting the values:
Therefore, the probability of getting a number less than 7 when a die is thrown once is or .
Would you like more details or have any questions?
Here are some questions you might want to ask:
- What is the probability of rolling an even number on a die?
- How do you calculate the probability of rolling a specific number on a die?
- What is the probability of rolling a number greater than 4 on a die?
- How can probabilities be expressed in different forms (fractions, decimals, percentages)?
- What is the probability of rolling a prime number on a die?
Tip: When dealing with probabilities, always ensure the total number of possible outcomes is correctly identified, as this forms the basis of calculating accurate probabilities.
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Math Problem Analysis
Mathematical Concepts
Probability
Formulas
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Theorems
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Suitable Grade Level
Grades 4-6