Favorable Outcome

Favorable Outcome Definition:

the outcome that you are looking for in an experiment

Favorable Outcome for one coin flip:

Our event is the coin toss
We have 2 possible outcomes, heads or tails


Suppose your looking for heads as a favorable outcome, you would have 1 favorable outcome

Probability formula for flipping a head:

Probability of flipping a head  =	Favorable Outcomes
	Total Possible Outcomes

Favorable outcomes = 1 head, total possible outcomes = 1 head + 1 tail = 2

Probability of flipping a head  =	1
	2

Favorable Outcome for a cube/die roll:

Suppose we have a fair cube/die with 6 sides.
Our event is the cube/die roll.

We have 6 possible outcomes, {1, 2, 3, 4, 5, 6}.


What are the favorable outcomes for rolling an even number?


In this case, we have 3 favorable outcomes.

Probability formula with favorable outcomes:

Probability of rolling an even  =	Favorable Outcomes
	Total Possible Outcomes

Favorable outcomes = 3 evens (2, 4, 6}, total possible outcomes = 6 sides

Probability of rolling an even  =	3
	6

We can simplify this fraction by dividing top and bottom by 3:

Probability of rolling an even  =	1
	2