I have a 163x163 binary Matrix (contains only 1s and 0s). Each row has exactly 4 ones and 159 zeros(assume random). I want mainly to find the probability of the first row to share (exactly or at least, it does not matter) two ones in the same column with other row.
To give an example: a success is found if both the first and eleventh row contain a 1 in their 47th and 100th column.
If I am not clear I apologize, just let me know and I'll try to explain better. Using this, I will later attempt to find the expected value of the total number of columns that have another column that shares (exactly or at least) two ones with it.
Thank you very much!