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

Answer:

HEYA FRIEND HERE IS YOUR ANSWER

Step-by-step explanation:

SAMPLE SPACE = 5+3

= 8

PROBABILITY = 6/8

= 3/4

HOPE IT HELPS YOU

Answer 2

Given:

Number of characters=3

Number of defense tools=5

To find:

The probability of not choosing a hobbit or an umbrella randomly.

Solution:

We can find the probability by following the given steps-

We know that the probability of an event depends on the favorable and total outcomes.

Probability= The number of favorable possibilities/ The number of possibilities

Out of the 3 characters and 5 tools, we cannot choose a hobbit or an umbrella.

So, the total number of possibilities= 3C1!×5C1!

=3!/1!(3-1)!× 5!/1!((5-1)!

=3!/2!×5!/4!

=3×5

=15

Favorable possibilities= 2C1!×4C1!

=2!/1!×4!/3!

=2×4

=8

The probability of not choosing a hobbit or an umbrella randomly= 8/15

Therefore, the probability of not choosing a hobbit or an umbrella randomly is 8/15.