Question

You're playing a game when you defend your village from an orc invasion there are three characters elf hobbit or human and five defense tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character and a tool what is the probability that you'll be a magic elf

Answer 1

The probability that you'll be a magic elf is $\frac{1}{15}$ or 6.66%.

Step-by-step explanation:

Step 1:

Let A be the event of you choosing an elf.

The probability of an event is given by dividing the number of favorable outcomes by the total number of outcomes.

Here the number of favorable outcomes is 1 and the total number of outcomes is 3 i.e. elf, hobbit or human.

The probability of choosing an elf, $P(A) = \frac{1}{3} .$

Step 2:

Let B be the event of you choosing magic as your defense.

In this situation, the number of favorable outcomes is 1 and the total number of outcomes is 5 i.e. magic, sword, shield, slingshot, or umbrella.

The probability of choosing magic as your defense, $P(B) = \frac{1}{5} .$

Step 3:

The probability of both events A and B happening, we multiply the individual probabilities.

$P(getting a magic elf) = (P(A))(P(B)) = (\frac{1}{3} )(\frac{1}{5} ) = \frac{1}{15} = 6.66\%.$