A standard die is rolled.  What is the probability of rolling a prime number? in percentage

A standard die has six faces numbered from 1 to 6. The prime numbers within this range are 2, 3, and 5.

### Step 1: List the Prime Numbers
- The prime numbers between 1 and 6 are 2, 3, and 5.

### Step 2: Count the Prime Numbers
- There are 3 prime numbers: 2, 3, and 5.

### Step 3: Calculate the Probability
- The total number of possible outcomes when rolling a standard die is 6.
- The probability of rolling a prime number is given by:
  
  \[
  P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{3}{6} = \frac{1}{2}
  \]

### Step 4: Convert to Percentage
- Converting \(\frac{1}{2}\) to a percentage:
  
  \[
  \frac{1}{2} \times 100\% = 50\%
  \]

Therefore, the probability of rolling a prime number is **50%**.

Would you like to explore any other details or have any further questions?

### Related Questions:
1. What is the probability of rolling an even number on a standard die?
2. What are the chances of rolling a number greater than 4?
3. If two dice are rolled, what is the probability that the sum is a prime number?
4. What is the probability of rolling a multiple of 3 on a standard die?
5. How would the probability change if a biased die is used?

### Tip:
Remember that when calculating probabilities, always check the total number of outcomes and favorable outcomes for accuracy.

A standard die is rolled. What is the probability of rolling a prime number?

Discover the probability of rolling a prime number on a standard die, with detailed explanations of key concepts like prime numbers, probability calculation, and percentage conversion. Suitable for students in Grades 6-8.

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