noun of V+ing

Question

"If w reject the null hypothesis, the p-value is the probability of being wrong."
" The p-value is the probability of making a Tpye I error."

I am not familiar withe the use of "noun of doing...", and it seems "of doing..." as a attribute. If I use "probability to be wrong" or "probability to make a..." instead of the above two, are they correct?

Thanks in advance.

AlpheccaStars · Accepted Answer

These are the best alternatives.

"If w reject the null hypothesis, the p-value is the probability of an error condition."
"If w reject the null hypothesis, the p-value is the probability that you are / it is wrong.."
" The p-value is the probability that a Type I error has occurred / been made."

This phrase is a noun followed by the prepositional phrase with "of"

probability of (noun phrase) - the noun phrase is the object of the preposition "of"
Gerunds (verb+ing) are very common in this type of phrase.

We do not "do an error", we "make an error".

CalifJim · Answer

michaelxiaohtIf I use "probability to be wrong" or "probability to make a..." instead of the above two, are they correct?

No. "the probability to" (+ verb) is wrong.

michaelxiaohtI am not familiar withe the use of "noun of doing..."

It's correct.

the probability of being wrong ~ the probability that you are wrong
the chance of succeeding at that task ~ the chance that you will succeed if/when you try to do that task

the consequences of taking these pills ~ the consequences that occur if/when you take these pills
the result of staying in the sun too long ~ the result that occurs if/when you stay in the sun too long
the difficulty of solving the problem ~ the difficulty that occurs if/when you try to solve the problem

CJ

AlpheccaStars · Answer

CalifJimNo. "the probability to" (+ verb) is wrong.

That's right. But the pattern with "to" + verb is used with other nouns:

He has a tendency to speak too loudly.
She has all intentions to go to the party.
Jane has an option to attend the ceremony.
He has an offer to work for Apple.
Each lottery ticket you buy gives you another chance / opportunity to win.

These show an action that is possible in the future.

noun of V+ing

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