Math Problem Statement
A standard six-sided die is rolled.
What is the probability of rolling a number equal to 4 ? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
Solution
A standard six-sided die has the numbers 1 through 6, so there are 6 possible outcomes when you roll the die.
The number 4 is just one of these outcomes. Therefore, the probability of rolling a 4 is:
Expressing this as a decimal:
So, the probability of rolling a number equal to 4 is or approximately 0.1667.
Do you want further details or have any questions?
Here are 5 related questions:
- What is the probability of rolling an odd number on a six-sided die?
- What is the probability of rolling a number greater than 3?
- If two six-sided dice are rolled, what is the probability of getting a sum of 7?
- What is the probability of rolling a prime number on a six-sided die?
- What is the probability of not rolling a 4?
Tip: For probability problems, always ensure the total number of possible outcomes is accurately identified to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Probability
Combinatorics
Formulas
Probability = (Favorable outcomes) / (Total possible outcomes)
Theorems
Basic Probability Theorem
Suitable Grade Level
Grades 6-8