In the game of Yahtzee, a popular game involving the rolling up to 5 dice at a time across three separate rolls, with the goal of accumulating certain "goal" outcomes, consider the following:

A LARGE STRAIGHT is considered a string of 5 consecutive numbers. You do NOT need to get that string on ONE single roll, rather you can accumulate that string across 3 separate rolls of any number of dice you choose each time, as long as after three rolls max, the LARGE STRAIGHT is showing. Considering there are only 5 dice in the game, that string would look like 1 through 5 or 2 through 6.

Assume that through two rolls, you have already accumulated on 4 of the 5 dice the string of 2 through 5, i.e. 2, 3, 4, 5. You therefore have ONE roll left of the single remaining die to achieve a LARGE STRAIGHT as defined above. What is the probability that with that final roll of that single die you will achieve a large straight?