In case of discrete probability distributions, we find probabilities of different points/values over exactly those points, but in case of continuous probability distributions, we find probabilities of points within intervals --- why is that ? Can we not find out probability of a continuous random variable at a given point without the interval?

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    $\begingroup$ We can -- but it is always zero. $\endgroup$
    – Nick Cox
    Oct 3 '19 at 17:02
  • $\begingroup$ @Nick So it approaches zero as the number of possible outcomes approaches infinity? It is not actually zero but is approaching zero ? $\endgroup$ Oct 3 '19 at 17:32
  • $\begingroup$ Probability zero is a subtle concept. The entire probability is always 1. How that can be reconciled with what I said requires some careful explanations. I was sparse with a comment because I was trustful that someone would identify a duplicate. $\endgroup$
    – Nick Cox
    Oct 3 '19 at 17:40
  • $\begingroup$ depending on the power of a set a sum of zeros can be zero or more than zero $\endgroup$
    – Aksakal
    Oct 3 '19 at 19:26