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Using the illustration, which shows multiple different probabilistic models for rolling a die. We must distinguish between valid and illegitimate models, as well as explain why illegitimate models exist.

An event is a subset of an experiment's total number of outcomes. The ratio of the number of elements in an event to the number of total outcomes is the probability of that occurrence.

The conditions of the probability distribution are: 1)The probabilities should be $0鈮�p鈮�1$2)

All probability should add up to one. Because all of the probabilities are between $0$and $1$, the model $1,2,3$satisfies the first criteria.

As a result, the Model $4$is not legal. Now we'll look at the model $1,2,3$second condition.

localid="1649652688065" $Model1=\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}=\frac{6}{7}$Not satisfied. $Model2=\frac{1}{3}+\frac{1}{6}+\frac{1}{6}+0+\frac{1}{6}+\frac{1}{6}=1$Satisfied.$Model3=\frac{1}{3}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}+\frac{1}{6}=\frac{7}{6}$Not satisfied.