How to generate mxn matrix with randomly generated 0 and 1 with probability in C

I wrote C program that defined a 2D matrix with m rows and n columns with random numbers (Either 0 or 1). The code is as following:

int i,j;
    int original_matrix[m][n];
    for (i=0; i<=m-1; i++){
        for (j=0; j<=n-1; j++){
            original_matrix[i][j] = rand() % 2;
        }
    }

It worked. For the next step, I want to create the matrix with a probability. For example, 1 is written into a cell with probability p and 0 is written with probability 1-p. Could you please share any ideas on this if you have?