What Is the Probability of Selecting a Prime Number Between 70 and 100?

Learn how to calculate the probability of picking a prime number between 70 and 100, including the list of prime numbers in this range.

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Between 70 to 100, there are 5 prime numbers: 71, 73, 79, 83, and 89. To calculate the probability of selecting a prime number at random in this range, divide the number of primes by the total numbers in the range (31). Therefore, the probability is 5/31, or approximately 16.13%.

FAQs & Answers

  1. How do you find prime numbers within a specific range? To find prime numbers within a range, check each number to see if it has only two distinct divisors: 1 and itself. Numbers like 71, 73, 79, 83, and 89 are prime between 70 and 100.
  2. What is the formula to calculate the probability of selecting a prime number in a range? The probability is calculated by dividing the count of prime numbers within the range by the total number of integers in that range.
  3. Why are prime numbers important in mathematics? Prime numbers are fundamental in mathematics because they are the building blocks of natural numbers and have applications in cryptography, number theory, and problem-solving.

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