Question

Looking for real-life examples where one can list as many different groups of complete events as possible for an experiment of their choice

Answer 1

Definition of complete groups of events: A complete group of events is a group of incompatible events, such that at least one of them must occur as a result of an experiment.

Example 1:Tossing a coin twice will result in the following four events: (T, T), (T, H), (H, T), (H, H).

Obviously, all events are mutually incompatible, only one of them can occur as a result of an experiment "tossing a coin twice."In flipping a coin n times, the following events: "No heads and n tails are an outcome of n trials, " "One head and n â?' 1 tails are an outcome of n trials, " "Two heads and n â?' 2 tails are an outcome of n trials, " ..., "n â?' 1 heads and one tail are an outcome of n trials," "n heads are an otucome of n trials" form a complete group of events.

Another example is tossing a dice one time with result {1,2,3,4,5,6}.If we tossing a dice one time the we get one outcome as a result of experiments.So,if we make any group of event then it is incompatible and form a complete group of event.