Question

After 100 spins, Lincoln calculated the probability that he would spin a prime number to be 0.35. Using the
spinner, what is the theoretical probability of spinning a prime number?
An 15

Answer 1

Given:

Total number of spins = 100

Probability that he would spin a prime number to be 0.35.

To find:

The theoretical probability of spinning a prime number.

Solution:

Total numbers from 1 to 100 = 100

Total prime numbers from 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

So, the prime numbers from 1 to 100 = 25

Now, the probability of spinning a prime number is

$\text{probability}=\dfrac{\text{Total prime numbers from 1 to 100}}{\text{Total numbers from 1 to 100}}$

$\text{probability}=\dfrac{25}{100}$

$\text{probability}=0.25$

Therefore, the theoretical probability of spinning a prime number is 0.25.