Math Problem Statement
IF a single die is thrown find the probability of getting a PRIME number
Solution
When a single die is thrown, it has six faces numbered 1 to 6. To find the probability of getting a prime number, let's identify the prime numbers between 1 and 6:
- Prime numbers less than or equal to 6 are: 2, 3, and 5.
Now, let's calculate the probability:
- Total possible outcomes: 6 (numbers 1 to 6).
- Favorable outcomes (prime numbers): 3 (2, 3, 5).
The probability of rolling a prime number is:
So, the probability of getting a prime number is or 50%.
Would you like a more detailed explanation or have any questions?
Here are some related questions to explore:
- What is the probability of getting an even number when rolling a die?
- If two dice are thrown, what is the probability of getting a prime number on both?
- What is the probability of rolling a composite number on a die?
- How many prime numbers are there on a standard 12-sided die?
- What is the probability of rolling a prime number or a 6 on a die?
Tip: Always list out the numbers and identify the prime ones when dealing with probability questions involving primes!
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Math Problem Analysis
Mathematical Concepts
Probability
Prime Numbers
Formulas
Probability formula: P = Favorable outcomes / Total outcomes
Theorems
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Suitable Grade Level
Grades 4-6