Which of the following is true regarding experimental outcomes and assigned probabilities?

The correct assertion about experimental outcomes and assigned probabilities is that the probabilities range needs to be between 0 and 1 for each outcome. This is foundational in probability theory, where every individual probability must be a non-negative number (0 or greater) and cannot exceed 1. This ensures that every possible outcome of a given experiment is accounted for correctly in terms of likelihood; a probability of 0 indicates that an event cannot occur, while a probability of 1 indicates certainty.

This concept is critical because it maintains the integrity of the probability model. If an outcome has a probability less than 0 or greater than 1, it disrupts the entire probability system, leading to nonsensical results. Hence, for valid probabilities, every individual outcome must adhere to this range of 0 to 1.

It is important to consider that, while negative values or values exceeding 1 invalidate the basic principles of probability, the sum of the probabilities of all possible outcomes must equal exactly 1 in a complete probability distribution.