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The probability that you'll be a magic elf is 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,
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,
Step 3:
The probability of both events A and B happening, we multiply the individual probabilities.
Answer:
Step-by-step explanation:
First, let's examine our original statement.
Using exponent rules, we know that if we have , then simplified, the answer will be equivalent to
.
So we can simplify this by adding the exponents and
.
Converting into fourths gets us
.
.
So we now have .
When we have a number to a fraction power, it's the same thing as taking the denominator root of the base to the numerator power.
Basically, this becomes
. (The numerator is what we raise x to the power of, the denominator is the root we take of that).
Hope this helped!