A common dice has 6 possible outcomes. Unless it’s a special D6, it’s impossible to get a zero or some other value outside the usual range of 1-6.
Normally, each side has a probability of 1/6. If it’s a loaded dice, one value will have a higher probability, while the other sides will have a lower probability.
Let’s say you have two dice, you roll them, and hope to get 6 on both of them. It’s possible to get that on the first try, but it’s much more plausible that you have to roll them many times before that happens.
Blemgo@lemmy.world 3 weeks ago
Possibilities are all possible outcomes of a certain scenario. With the example of a coin toss, it’s heads or tails. However, these are dependent on your definition of what you want to observe. For example, at a dice roll, you could define the possibilities as:
Probabilities are attached to possibilities. They define how likely an outcome is. For example, in an ideal coin toss heads and tails have a probabilitiy of 0.5 (or 50%) each.
With my 2nd example, the probabilities would be:
All probabilities must add up to 1.0 (or 100%), otherwise your possibilities overlap, which is generally not something you want.
Plausibility is a bit more tricky, as it also depends on your definition, namely a cutoff point. You could see the cutoff point as a limit of how much you want to risk. I’ll only examine the example for the coin toss for that. Say you will toss a coin 100 times. This would mean there are 2^100^ possibilities, but we will examine only 2 for this matter:
Let’s say the cutoff point is 0.01, i.e. 1%. This would make the first possibility improbable, as 1/(2^100^) is far lower than 0.01. The second possibility is 0.5, which is greater than 0.01, and therefore probable.
Successful_Try543@feddit.org 3 weeks ago
Thank you.