Modeling Dice Rolls: Finding the First Occurrence of 5 - Geometric Distribution

The correct answer is (a) Geometric distribution.

The Geometric distribution models the number of trials needed to get the first success in a sequence of independent Bernoulli trials. In this case, each dice roll is a Bernoulli trial with success being rolling a '5'. The Geometric distribution perfectly captures the scenario of repeatedly rolling the dice until we get our first '5'.