What is the difference between "likelihood" and "probability"?
Iv'e check the dictionaries for that questions and it seems that there's no a difference. Cambridge dictionary even call them clearly also synonyms. But Wikipedia makes me a little bit confused about it:
"Probability is the measure of the likelihood that an event will occur."
So if they're the same we can say that "the probability is the measure of the probability that an event will occur." and it from wikipedia definition it seems that they're two different things.
So are they really synonyms and interchangeable in all if not most of the cases or there are cases that I should use one of them only?
- There is an high probability/ likelihood that today will be rainy.
- The likelihood / probability that spermatozoön will go to the uterus tissue is very low.
- The probability / likelihood for such event is not really real.
- The probability / likelihood that we will have class on Saturday is 50 %.
In all of these cases, it is just a matter of choice which one (probability or likelihood) to chose?