## An integer $$n$$ between $$1$$ and $$99,$$ inclusive, is to be chosen at random. What is the probability that $$n(n+1)$$

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### An integer $$n$$ between $$1$$ and $$99,$$ inclusive, is to be chosen at random. What is the probability that $$n(n+1)$$

by Vincen » Wed Mar 31, 2021 8:13 am

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An integer $$n$$ between $$1$$ and $$99,$$ inclusive, is to be chosen at random. What is the probability that $$n(n+1)$$ will be divisible by $$3?$$

A) $$\dfrac19$$

B) $$\dfrac13$$

C) $$\dfrac12$$

D) $$\dfrac23$$

E) $$\dfrac56$$

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### Re: An integer $$n$$ between $$1$$ and $$99,$$ inclusive, is to be chosen at random. What is the probability that $$n(n+ by [email protected] » Thu Apr 15, 2021 10:29 am Vincen wrote: Wed Mar 31, 2021 8:13 am An integer \(n$$ between $$1$$ and $$99,$$ inclusive, is to be chosen at random. What is the probability that $$n(n+1)$$ will be divisible by $$3?$$

A) $$\dfrac19$$

B) $$\dfrac13$$

C) $$\dfrac12$$

D) $$\dfrac23$$

E) $$\dfrac56$$