What is the difference between empirical and theoretical probability?How well we understand the difference between empirical and theoretical...

The term "empirical" involves the presence of an
experiment, therefore the empirical probability is presented as a percentage that
results from an experiment.

The theoretical probability
will give answers based on formulas, without the need of conducting any
experiment.

Choosing one of these probabilities depends on
the needs.

For instance, to calculate the theoretical
probability, we'll use the formula:

P = the number of ways
an eveniment can happen/the total number of
possibilities

If we want to determine the theoretical
probability of picking a lemon candy, from a jar where we have 6 lemon candies and 4
mint candies, we'll use the formula:

P =
6/(6+4)

P = 6/10

P =
3/5

The theoretical probability of picking a lemon candy is
3/5.

If you want to determine the empirical probability,
you'll have to repeat the operation of picking a candy and to determine how often the
lemon candy has been picked. The more you'll reapeat the picking action, the more
accurate will be the result.