Poisson and Binomial both the distribution are used for defining discrete events.You can tell that Poisson distribution is a subset of Binomial distribution.
Binomial is the most preliminary distribution to encounter probability and statistical problems.
On the other hand when any event occurs with a fixed time interval and having a fixed average rate then it is Poisson distribution.
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The Poisson distribution is characterised by a rate (over time or space) of an event occurring. In a binomial distribution the probability is that of a single event (outcome) occurring in a repeated set of trials.
If this is the only information that you have then you must use the Poisson distribution.
The Poisson distribution is discrete.
Because "n" is very large and "p" is very small. where "n'' indicates the fixed number of item. And ''p'' indicates the fixed number of probability from trial to trial.
discrete & continuous