Final answer:
The probability of getting a 5 is 1/6, an odd number is 1/2, not getting a 6 is 5/6, and 'none of the above' is not a valid outcome for a die roll.
Step-by-step explanation:
The question at hand involves calculating the probability of certain outcomes when rolling a fair, six-sided die. The sample space, S, of such a die is {1, 2, 3, 4, 5, 6}. Each face has an equal chance of landing face up, which means each outcome has a probability of 1/6.
Probabilities of Specific Outcomes
None of the above is not an outcome on the die and therefore does not have a probability associated with it.
Understanding that each roll is independent of the last, meaning the outcome of one roll does not impact the outcome of another, is key in calculating these probabilities.