What Is the Probability of Selecting a Prime Number from the First 100 Natural Numbers?

Learn how to calculate the probability of picking a prime number from the first 100 natural numbers, with clear explanation and examples.

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In the first 100 natural numbers, 25 out of them are prime. Therefore, the probability of randomly selecting a prime number from this set is 25%. Calculating this involves simply dividing the number of primes (25) by the total numbers considered (100). This percentage underscores the relatively high occurrence of prime numbers within a manageable dataset, making primes not as rare as one might initially think.

FAQs & Answers

  1. How many prime numbers are there in the first 100 natural numbers? There are 25 prime numbers within the first 100 natural numbers.
  2. How do you calculate the probability of selecting a prime number from a set? To calculate the probability, divide the number of prime numbers in the set by the total number of elements in that set.
  3. Are prime numbers common among natural numbers? While primes become less frequent as numbers get larger, within the first 100 natural numbers, primes make up about 25%, showing they are relatively common in smaller ranges.

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