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.