Short answer: Probability that 1 meaning something is certain to happen is simply convention.

You are watching: Can a probability be greater than 1

Meaning who made it up a lengthy time back and civilization agreed to stick with it.

Given that we say that

An event (e.g., that it will certainly rain tomorrow) arising with probability the 1 means that the event will 100% occur. In various other words, the event is specific to occur.

Now why go 100% mean all (like why does 100% that a pizza mean every one of the pizza?)...

Well percent = per-cent = every 100 (like exactly how cents are 1/100 of a dollar). For this reason 100% way 100*(1/100) = 1.

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A Probability that 1 is the very same as 100% probability, just converted right into decimals.

100% probability = 1.000

50% probability = 0.5

25% probability = 0.25

You deserve to never have much more than 100% probability that an occasion will occur, for this reason you have the right to never have actually a probability greater than 1.0

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