Empirical Probability Worksheets

What is Empirical Probability? The probability is defined as the likelihood of occurrence of an event. Probability can be written in the form of decimals or fractions. When expressed in decimal form, probability ranges from 0 to 1. If an event has a probability of 0, that means there are no chances of occurrence of that particular event. However, if the event has a probability of 1, then it means that the particular will occur. When the probability is closer to 1, then the event is likely to happen, and when the probability is closer to 0, then it is less likely that an event would happen. For instance, an event with a probability of 0.85 is more likely to happen than an event with a probability of 0.12. Empirical probability is found by conducting experiments and through observations. The likelihood that the event will happen is based on the results obtained from the collected data. The mathematical formula for finding empirical probability is written as: Empirical Probability = Number of times an event can take place/ total number of trials. For instance, a fair die is rolled 120 times, and you to find out the number of times 5 turned up. We know that each number on the die has an equal probability of 1/6. Therefore, the probability of 5 turning up is also 1/6. So, we will calculate 120 x 1/6= 20. The probability of 5 is 20 out of 120.