Question #cb1f2

1 Answer
Feb 6, 2018

#8/20# or #2/5# will be prime

Explanation:

Let's start with what we know:

  • We have a spinner with equal sections numbered 1 through 20
  • We have 20 sections, so the probability will be out of 20
  • Prime numbers are numbers with two factors (one and itself)

NOTE: It is important to realize that, by definition, 1 is not considered a prime number, because it only has one factor, itself.

How many prime numbers are there 1-20?

Prime numbers:
2, 3, 5, 7, 11, 13, 17, 19 (8 numbers). If this seems confusing, ask yourself "do these have any factors other than one and itself?"

We have 8 prime numbers, out of 20 possible. Therefore, our probability of spinning a prime number is #8/20#, which can of course be simplified to #2/5#, if we divide by 4.