# Free Ice Cream (Mathematics)

- Author:
- Steve Phelps

- Topic:
- Mathematics

Construct the sample space to determine the (exact, theoretical) probability that I will pay for your ice cream cone using the spreadsheet below.

What is the exact (theoretical) probability that I will pay for your ice cream cone?

Is this exact probability within the error bound of the approximate probability from your simulation analysis?

Report the (exact, theoretical) probability that you will eat an ice cream cone, either because you can afford it yourself or because I pay for it.

Does this probability (that you will eat an ice cream cone) equal the sum of the probabilities that you can afford it and that I will pay for it? Explain why your answer makes sense.

Describe how you could calculate this probability (that you will eat an ice cream cone) based on the sum of the other two. Then confirm that your suggestion provides the correct answer.