Question

There are 25 prime numbers between 1 and 100. There are 46 prime numbers between 1 and 200. Which situation is more likely? Explain your reasoning. 1. A computer produces a random number between 1 and 100 that is prime. 2. A computer produces a random number between 1 and 200 that is prime.

Answer 1

Answer:

One.

Step-by-step explanation:

There is a 25% chance of situation one happening.

$\frac{prime}{total} =\frac{25}{100} = 0.25=25$%

There is a 23% chance of situation two happening.

$\frac{prime}{total} =\frac{46}{200}=0.23=23$%

Since the chance is two percent bigger from situation one, situation one should be the one that is more likely to happen.