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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?

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. $\newline$ If you randomly choose your character and tool, what is the probability that you'll be a magic elf?

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Probability of simple events

Full solution

Q. 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.

\newline

If you randomly choose your character and tool, what is the probability that you'll be a magic elf?

Character and Tool Choices: Total number of character choices = $3$ (elf, hobbit, human) $\newline$ Total number of defense tool choices = $5$ (magic, sword, shield, slingshot, umbrella) $\newline$ To find the total number of combinations, multiply the number of character choices by the number of tool choices. $\newline$ Total combinations = $3 \times 5 = 15$
Favorable Outcome Calculation: Only one combination makes you a magic elf. So, the number of favorable outcomes $= 1$
Probability Calculation: Probability ( extit{P}) of being a magic elf = Number of favorable outcomes / Total combinations $\newline$ $P(\text{magic elf}) = \frac{1}{15}$

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