Abstract

Consider a matrix of locations in rows and columns, and suppose that at each location a binomial trial materializes independently which results in a specified event E with some probability. One possible configuration is that the event occurs at three adjacent locations, which we call a triangular configuration. The number of these triangular configurations is a random variable with a highly complex distribution. This paper determines the factorial moments of this distribution by the application of Memon’s theorem.

Key words: Binomial trial, factorial moments.