Question

An integer is chosen between 70 and 100. find the probability that it is

a prime number

Answer 1

6/31 or 0.1935 or 19.35%

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Determine the number of prime numbers within that range.

Prime numbers are only divisible by 1 and themselves.

Within the given range, the prime numbers are:

• 71, 73, 79, 83, 89, and 97

So, there are 6 prime numbers.

The probability of choosing a prime number is given by the formula:

• Probability = Number of desired outcomes / Total number of possible outcomes

In this case, the number of desired outcomes is 6 and the total number of possible outcomes is:

• (100 - 70 + 1) = 31

Therefore, the probability that the chosen integer is a prime number is:

• P = 6/31,

which can be simplified to approximately 0.1935 or 19.35%.