Empirical Probability Worksheets

What is Empirical Probability? Typically, probability is the likelihood of the occurrence of an event. We can write probability in the forms of decimals and fractions. When probability id represented in decimal form, it ranges for 0 to 1. When an event shows a probability of 0, it means that a particular event has zero chances of taking place. However, when an event has a probability of 1, it means that a particular event will take place. 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 0.7 is more likely to happen than an event with a probability of 0.1. Empirical probability is the type of probability that is calculated by doing experiments and conducting observations. The likelihood that the event will happen is based on the results obtained from the collected data. The mathematical formula for calculating 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 180 times, and you to find out the number of times 4 turned up. We know that each number on the die has an equal probability of 1/6. Therefore, the probability of 4 turning up is also 1/6. So, we will calculate 180 x 1/6= 30. The probability of 4 is 30 out of 180.