My understanding would be:
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Probabilities: Chance of a certain outcome happening. E.g. Outcome A has a 70% chance B a 20% and C 10%
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Possibilities: what outcome scenarios exist. E.g. there exist 3 (A B C). Those Possibilities might have a probability associated with them
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Plausibility: looks at the degree of truth of a statement. So if it logically makes sense and is the correct answer/is what happened. You might make a judgement of the plausibility of a possibility based on the probability of it happening. Say if something has two outcomes one with a 99% chance and the other 1% then that might be the more plausible one. Or if it has no chance, then it might be implausible
Edit: since someone mentioned the example of a coin toss.
Head and tails have a probability of 50% each (for the sake of simplicity I assume it won’t land standing up)
A coin toss has two possible outcomes (possibilities). Head and tails.
Someone says he flipped a coin and got head 1000 times in a row. That’s not plausible with a fair coin because of the low chance of it actually happening (even if there is a indefinitely small chance). As a result you might assume he is either lying or the coin is weighted for that outcome.
A coin toss has two possible outcomes (possibilities). Head and tails.
There is also the extreme implausibility with a <1% probability that it will land on its edge but still more possible than 1000 heads in a row.
1 in 6000 chance for an American nickel, which has a thicker side than most. Just for others sake. I felt it was far less than just <1% and had to find out.
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Probabilities - The mathematically determined chance that something will happen given a specific scenario.
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Possibilities - The set off all things with a >0% chance of happening given a specific scenario.
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Plausibility - The outcomes of a specific scenario, that when presented to a reasonable person, that person would determine that they are possible.
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Coin toss:
- Heads or tails are 50/50 probability.
- It is possible that the coin lands on its side.
- It is implausible that it splits in two.
- likelihood
- is it impossible?
- can you imagine it happening, or not?
- Decent chance of happening.
- Is theoretically possible but unlikely.
- Could happen, but there’s no data on how likely it is.
Probabilities will likely happen.
Possibilities could happen if chances go right.
Plausibilities could, within reason, happen, but are not necessarily likely.- Prob = > 50%
- Possibillities = > 0%
- Plausibillity = >0%…<=50%
?
They’re not just different ranges of probability.
Probable = likely to happen
Possible = able to happen
Plausible = able or likely to happen according to reasonable inference
Possibility: it can technically happen
Probability: statistically significant likelihood of happening
Plausibility: a possibility that passes the laugh test
passes the laugh test
Actually a great heuristic, thanks!
Very plausible response
Probability is a numeric value between: 0 and 1 of how likely an event is going to happen. Depending on the definition, I would say that possibilities and plausabilities are both events with a nonzero probability. Colloquially, possibilities are more likely than plausabilities I guess. Source: two thirds of a stats phd and C2 level english skills lol
when people say its plausible tho, I feel like that means its a bit more likely or they entertain the chance of it happening or being correct more than a mere possibillity tho
Plausible is more like conceivable.
It’s possible that when I slam my hand on the table, it will go through the table, but it’s not plausible. We can’t imagine it actually happening, even though we know it can.
maybe all the stats have eroded any intuition I had for these words
