In rolling a die, what is the probability of getting a prime number?

To determine the probability of rolling a prime number on a standard six-sided die, we first need to identify the prime numbers within the range of possible outcomes.

The numbers on a six-sided die are 1, 2, 3, 4, 5, and 6. Among these, the prime numbers are 2, 3, and 5. A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. Therefore, the prime numbers in this case are:

• 2 (divisors: 1, 2)

• 3 (divisors: 1, 3)

• 5 (divisors: 1, 5)

There are three prime numbers: 2, 3, and 5. Since there are a total of six possible outcomes when rolling the die (1 through 6), we can calculate the probability of rolling a prime number by using the formula:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

In this instance, the number of favorable outcomes is 3 (the prime numbers we identified), and the total number of possible outcomes is 6. Thus,