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:

  1. Total possible outcomes: 6 (numbers 1 to 6).
  2. Favorable outcomes (prime numbers): 3 (2, 3, 5).

The probability PP of rolling a prime number is:

P=Number of favorable outcomesTotal number of outcomes=36=12P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{6} = \frac{1}{2}

So, the probability of getting a prime number is 12\frac{1}{2} or 50%.

Would you like a more detailed explanation or have any questions?

Here are some related questions to explore:

  1. What is the probability of getting an even number when rolling a die?
  2. If two dice are thrown, what is the probability of getting a prime number on both?
  3. What is the probability of rolling a composite number on a die?
  4. How many prime numbers are there on a standard 12-sided die?
  5. 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