Probability distribution type of the following variable

Question

I'm not sure to which Probability distribution type the variable "Number of previous times defaulted on loan repayment" belongs to. I was thinking of Geometric distribution. Can someone please clarify this. Thanks!

Answer 1

All you know it that it is a count taking values from $0$ upwards, so it is a discrete distribution on the non-negative integers

Wikipedia has lists of some named discrete distributions but there is no particular reason to believe it is any of these, especially as a borrower who has defaulted on loan repayment many times already

(a) is more likely to default next time and

(b) is less likely to receive a loan next time and

(c) will die or at least eventually stop borrowing