When it is necessary to guess 



When you play the Minesweeper, you find yourself
in a situation where it is impossible to determine where the
mines are. You are obliged to click randomly, and it is a
5050 chance that you will die. Since choosing one solution
instead of another one does not change anything, it is necessary
to avoid choosing the box to be clicked, and click without
wasting time.
Thus if you are in one of the following situations, click
instantaneously. A way of saving time, is to always make the
same choice each time  as to discover the box along the edge
in the following example.
These three situations resemble each other much : there is
only one mine among the two undiscovered boxes :
:
Another way of uncovering squares faster
: when you only have to choose between two boxes, click on
the line which separates them. The box on which your mouse
is will be discovered. The advantage of clicking somewhere
in the middle of the two boxes is that you do not need to
precisely direct your mouse towards the box which you would
have chosen : you have to click on a larger surface, which
can be made more quickly than to click on only one box. In
this example, you will click somewhere in the red circle.
I give you that this is only a theory , and saves little
time, but remember that little + little = less little.
In this situation, only two mines are missing, which are
in diagonal.
Click on a diagonal (topleft then bottomright side for
example) automatically. If you make the wrong choice, it can
only be on the first mine, so if you have made the good choice,
the 2nd box will be discovered in little time. But don't forget
: do not mark the mines.
In the Beginner level, you will undoubtedly be brought to
meet this kind of situation :
The only boxes which you can discover are as follows :
You will have to choose where the 3 mines are : either all
on the left of the pairs of boxes, or all on right. In both
cases, the 3 clicks are made at the same place of the pair
boxes, and they must thus be made automatically.
About
probabilities
You sometime meet situations where it is impossible to determine
where the mine is. Some of these situations arrive more than
others. Rather than to click randomly on the boxes, it is
better to click where the probability is largest to find a
mine (if it is the mine which you seeks).
You
will rather often meet this situation


The two solutions for this situation
are

figure 1

and

figure 2

There are three ways to solve this case with a minimum of
risks
 Initially, you can discover the box in the corner; the
probability that there is a mine is 20.625 % is approximately
1/5 (99 mines for 16*30=480 boxes) (15.625 % for the intermediary).
That means that you jump on the mine all the 5 times. If it
is
under the box, it is figure 1 which is correct, and if it
is one ,
then it is figure 2 which it is necessary to apply.
 Then, here another way, which is a little simpler : imagine
that figure 1 is correct. The probability that that is false
is also 1/5. You can also mark the mine beside the ,
then to make two doubleslippedclicks on the 2 .
With this method, you do not need to recognize what there
is under the box of the corner to continue.
 Last way of solving this case: you leave the situation
just as it is, and return there only in all end of part. You
look at the meter of mines.
If
the meter displays

then
the solution is

1


2


3


This situation does not arrive often, but deserves that one
is interested in it a little. You
can directly discover the box on the right bottom mine; if
one
is discovered , all is well (clicdouble and that sets out
again). On the other hand if it is
under the box, we are really annoyed : there are 3 possible
solutions, and it will be necessary to choose one of them.
figure
1


figure
2


figure
3


In this case, it is necessary to choose figure 1, which it
the most probable solution. Indeed there are roughly 4/5 of
chances that it is correct (exactly 77.11 %).
The last situation showed a characteristic of the Minesweeper
: if there is X choices, it is one which is most probable,
and it is that which contains less mines. It is because there
is only one mine all the 5 boxes that it is more probable
on three boxes to have only one mine than to have two of them.
In other words, if you do not know where to place a mine,
place it where the most boxes share a mine.
