Question

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?

Answer 1

The probability you won't be a hobbit is 2/3, and the probability you won't use an umbrella is 4/5.

Answer 2

The probability that you won't be either an orc or use an umbrella is:

(2/3)(4/5)=8/15