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The number of sides in the die equals the number of sides in the die =$4$

The four-sided die's faces = $\left\{1,2,3,4\right\}$

A chance process' sample space $S$ is the collection of all potential outcomes. A probability model is a two-part description of a random process that includes a sample space $S$ and probabilities for each result.

The possible ordered outcomes are listed as an element in a sample space, which is commonly indicated using set notation. It is possible to roll a $1,2,3,4$ and on the first roll. It is possible to roll a $1,2,3,4$on the second roll. After that, the sample sequence contains all potential results on the first and second rolls $\left\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\right\}$

The sample space of a sequence of die flips is all possible sequences of outcomes $2^4=16$That is, The sample of a die flip is . Since the given sample space has $16$outcomes$\left\{1,2,3,4\right\}$ Therefore, the probability of all the events mentioned in the given sample space is the same.

Hence, The probability =$\frac{1}{16}$