Mathematics
Mathematics
Problem
A fair octahedral die has its faces numbered to . When the die is rolled once, find the probability of getting a prime number.Intuitive explanation
The key is to recognize that probability is just the ratio of favorable outcomes to total possible outcomes. First, identify which numbers from 1 to 8 are prime—remember that primes are natural numbers greater than 1 with exactly two divisors. Then count how many of those primes appear on the die's faces, and divide by the total number of faces to get your probability.
Intuitive explanation
The key is to recognize that probability is just the ratio of favorable outcomes to total possible outcomes. First, identify which numbers from 1 to 8 are prime—remember that primes are natural numbers greater than 1 with exactly two divisors. Then count how many of those primes appear on the die's faces, and divide by the total number of faces to get your probability.