Compound eventsĪ compound event is an event made up of two or more simple events.

Summing their individual probabilities, there is a 3/6, or 1/2 chance of rolling a 4, 5, or 6, on each roll of a single die. The only numbers greater than 3 are 4, 5, and 6. The probability of rolling either a 2 or a 6 is the sum of their individual probabilities (1/6 + 1/6 = 2/6 = 1/3). Since there are a total of six possible outcomes, the probability of any one of the outcomes in the set occurring is 1/6. Generally, the probability of an event, A, is calculated as: Once the sample space is known, it can be used to calculate probabilities such as the probability of rolling either a 2 or a 6, a number greater than 3, and so on. For the experiment of rolling a single die, the sample space consists of the six possible values that the die can land on, which can be represented using set notation: When trying to calculate probabilities, it is necessary to determine the sample space, which is the set of all possible outcomes of an experiment. From these simple experiments, it is possible to demonstrate the probabilities of independent events, dependent events, compound events, and more. There are many different ways that dice can be used to construct probability experiments, such as rolling a single die multiple times or rolling multiple dice at the same time.

Rolling a die (or multiple dice) is an example of a simple experiment that is often studied in probability and statistics. Home / probability and statistics / inferential statistics / roll a die Roll a die

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