Yes, it certainly can if there is only one possible outcome. For instance, the probability of drawing a red ball from a bag containing nothing but red balls is equal to one.
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Each outcome is equally likely and so the probability of each outcome is 1/36.
When an event is repeated, the probability of it occurring is squared. For instance, if an outcome had the probability of 1/4, then the outcome happening twice would have a probability of 1/16. Note, however, that this does not mean that the second event has different probabilities. That particular outcome will always be 1/4, regardless of anything that happened before it.
The probability level for an outcome is the probability that the outcome was at least as extreme as the one that was observed.
The expected outcome is the sum of (each possible occurrence times the probability of that occurrence). For example, the expected outcome of rolling one die is: 1 * 1/6 + 2 * 1/6 + 3 * 1/6 + 4 * 1/6 + 5 * 1/6 + 6 * 1/6 = 3.5.
The outcomes of a trial can be a negative integer but the probability of any outcome must be in the range [0, 1].