Question

A) List all the possible different ways Terry, Edin, and Gordon could share the work among the three takeaways (Kebabuzz, FishurChips, Pizzarella) using the abbreviation convention.

b) What is the probability that either Edin or Gordon will inspect Pizzarella?

Answer 1

There are 6 possible ways Terry, Edin, and Gordon can share the work among the three takeaways using the abbreviation convention. To find the probability that either Edin or Gordon will inspect Pizzarella, add the probability of each independently inspecting Pizzarella and subtract the probability of both inspecting Pizzarella.

Step-by-step explanation:

1. The possible different ways Terry, Edin, and Gordon could share the work among the three takeaways using the abbreviation convention are:
   • Terry: Kebabuzz, Edin: FishurChips, Gordon: Pizzarella
   • Terry: Kebabuzz, Edin: Pizzarella, Gordon: FishurChips
   • Terry: FishurChips, Edin: Kebabuzz, Gordon: Pizzarella
   • Terry: FishurChips, Edin: Pizzarella, Gordon: Kebabuzz
   • Terry: Pizzarella, Edin: Kebabuzz, Gordon: FishurChips
   • Terry: Pizzarella, Edin: FishurChips, Gordon: Kebabuzz
2. To find the probability that either Edin or Gordon will inspect Pizzarella, we need to find the probability of Edin inspecting Pizzarella and the probability of Gordon inspecting Pizzarella, and then add them together.
3. Let's say P(E) is the probability of Edin inspecting Pizzarella and P(G) is the probability of Gordon inspecting Pizzarella.
4. The probability that either Edin or Gordon will inspect Pizzarella is P(E) + P(G) - P(E and G).