What is the Probability of Selecting a Prime Number from 1 to 30?

Learn how to calculate the probability of choosing a prime number randomly from 1 to 30 with step-by-step explanation and examples.

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To find the probability of selecting a prime number randomly from 1 to 30, first identify the prime numbers in this range: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. There are 10 prime numbers. Since there are 30 numbers in total, the probability is the number of prime numbers (10) divided by the total numbers (30), which simplifies to 1/3 or approximately 33.33%.

FAQs & Answers

  1. What numbers are prime between 1 and 30? The prime numbers between 1 and 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
  2. How do you calculate the probability of selecting a prime number? To calculate the probability of selecting a prime number from a set, divide the number of prime numbers in the set by the total numbers in the set.
  3. Why is the probability of selecting a prime number from 1 to 30 equal to one-third? Because there are 10 prime numbers out of 30 numbers, the probability simplifies to 10 divided by 30, which is 1/3 or approximately 33.33%.

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