There are 4 types:
classical: this is the theoretical probability when there is events are equally likely to occur. A formula applies=(number of events considered successful)/(total number of possible outcomes); example: tossing a fair coin (50% heads, 50% tails), rolling a fair die probability of each score is ⅙);
empirical, or experimental: probability based on historical records of experiments; example: survey of people's favourite colour, students' favourite academic subject, weather forecasting;
subjective: a guess or opinion or feeling of probability not based on theory or experiment;
axiomatic: probability based on the mathematical application of fixed axioms or rules.