Probability

What is it?!

Probability is the likelihood of something happening

Two types

1. Theoretical Probability (Theory)

The ratio of the number of favorable outcomes over the total number of possible outcomes.

2. Experimental Probability (What actually happens)

The ratio of the number of times the event occurs to the total number of trials.

Differences

Theoretical Probability measures the NUMBER of ways the event can occurr against the NUMBER of outcomes. While Experimental Probability is the results out of the number of times you do the experiment.

Example Question: What is the probability that you'll roll a 6 with only one die? You roll a total of 10 times. There are 30 people and 52 times a 6 was rolled.

Theoretical Probability: 1 out of 6 or 1/6 = 0.16161616161616%

Experimental Probability: 52 times out of 300 outcomes 52/300

Determining sample space

Sample Space: the set of ALL possible outcomes of the experiment

Theoretical: the sample space is the number of outcomes of the event.