Probabilities of compound events

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'll be a magic elf?

Answer 1

The probability of being a magic elf is based on the number of outcomes that fit that criteria (1) divided by the total number of outcomes/combinations.

There are 3 possible characters and 5 possible weapons. To determine the number of combinations of characters and weapons, you multiply, each of the three characters has the possibility of 5 different weapons, so total number of character/weapon calculations is 15.

Probability of a magic elf is 1/15