Question

The Torus Doughnut Shop makes fresh doughnuts for the first 30 minutes of every two-hour block that they are open, which is for 12 hours a day. Douglass knows that the doughnuts taste way better within 15 minutes of baking. Douglass gets the munchies and makes a run to buy a dozen doughnuts. What is the probability that he will get there when they are serving doughnuts that he considers fresh?

Answer 1

Well 30 minutes in every two hour block occurs 6 times a day, therefore the 15 minutes he wants to pick his donuts up in occurs 6 times a day as well. So he has the probability of picking up his donuts fresh is 1:8. This is because for the 12 hours he has a total of 1.5 hours, 15 minutes x 6 occurrences, to pick up his donuts.