Would love some help with this question with full mathematical process. I am struggling to understand how this works step by step

Question

A spinner is split in 5 equal parts, one green, one orange, one yellow, one red, one blue. Theoretically, if the spinner is spun 500 times, how many times would you expect it to land on orange?

Answer 1

Since the spinner is divided into 5 equal parts, your chances of landing on Orange on the first trial is 1/5, or 20%.

 

When the spinner is spun multiple times, each spin has the same probability as the first spin.  Therefore, 20% of every trial.

 

If there are 500 total trials, then the probability of landing on Orange is 20% of all 500 trials, which can be calculated as 0.2*500, or 100.

 

Another way to do the calculation is to set it up as an equation of ratios. 20/100 = x/500, which can be read as 20 percent is equal 5o what part of 500?