In this video, we are going to learn about the differences between theoretical probability and experimental probability.
Let’s use rolling a dice as an example. Use P to represent probability.
Theoretical: The ratio of possible ways that an event can happen to the total number of outcomes.
Theoretically, the probability of rolling a even number on a dice ranging from 1 to 6 would be , or simply just .
To roll a one, the theoretical probability would be .
On a larger scale, it also means that theoretically, the probability
of rolling one number is the same.
Experimental: The ratio of the number of times an event happens to the total number of outcomes.
Let’s use the following table to find the experimental probability after rolling a dice 60 times.
Experimentally, the probability of rolling a even number would be the sum of the frequency for even outcomes to the total number of trials.
, or simply just
To roll a one, the experimental probability would be .
Note that the probability of rolling each number is different, as well as when compared to the theoretical probabilities.