What Is the Probability of Picking a Prime Number Between 1 and 30?

Learn how to calculate the probability of selecting a prime number from 1 to 30, including the list of prime numbers and the final chance percentage.

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The probability of picking a prime number from 1 to 30 is 10/30 or 1/3. There are 10 prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, and 29) within the range of 1 to 30. Therefore, when selecting a number randomly, you have a 33.33% chance of choosing a prime number.

FAQs & Answers

  1. How many prime numbers are there between 1 and 30? There are 10 prime numbers between 1 and 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
  2. Why is the probability of picking a prime number from 1 to 30 equal to 1/3? Because there are 10 prime numbers out of 30 total numbers, the probability is 10 divided by 30, which simplifies to 1/3 or about 33.33%.
  3. What is the formula to calculate the probability of an event? Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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