Battleship AI Implementation - c++

Question

The figures in the walkthrough portion of this article detail the algorithm fairly well.
I've developed the following short program:
#include <iostream>
using namespace std;
int main() {
int arr['K' - 'A'][10 - 0] = {0};
int largestShip;
//grid
cout << " ";
for(int i = 0; i < 10; i++) {
cout << (i + 1) % 10;
}
cout << endl << " ____________" << endl;;
for(char c = 'A'; c < 'K'; c++) {
cout << c << " |";
for(int i = 0; i < 10; i++) {
cout << arr[c - 'A'][i];
}
cout << "|" << endl;
}
cout << endl;
//endgrid
//heatmap
largestShip = 5;
for(char c = 'A'; c < 'K'; c++) {
for(int i = 0; (i + largestShip - 1) < 10; i++) {
for(int j = 0; j < largestShip; j++) {
arr[c - 'A'][j + i]++;
}
}
}
for(char c = 'A'; (c + largestShip - 1) < 'K'; c++) {
for(int i = 0; i < 10; i++) {
for(int j = 0; j < largestShip; j++) {
arr[c - 'A' + j][i]++;
}
}
}
//endheatmap
//showheatmap
cout << " ";
for(int i = 0; i < 10; i++) {
cout << (i + 1) % 10;
}
cout << endl << " ____________" << endl;;
for(char c = 'A'; c < 'K'; c++) {
cout << c << " |";
for(int i = 0; i < 10; i++) {
cout << arr[c - 'A'][i] % 10;
}
cout << "|" << endl;
}
cout << endl;
//endshowheatmap
return 0;
}
It sets the initial probability of the squares whose precedence is set by the size of its corresponding integer values in the array of values.
However, I'm not very well versed in probability theory, and am uncertain how to approach and understand the necessary methods for manipulating the probability of the squares (and by association, their values) in order to accurately assign the probability at any given square after some shot is taken at that square.
An explanation of the effects of a shot on the probability values of the squares within the grid would be helpful.