Beginners Endgame Exercise 1 / Miai Value
is gote:
is sente and White can play it any time
Let's fix the count at 4 here
is sente as it can revive he 4 stones
After
, White can play sente again with
Then
-
-
is gote and the count is 0
turning here is sente because next it would make more in the follow up than it makes here.
If
is allowed to capture here, then after
and
at
, Black makes another 4 points. If White omits
, then Black can destroy at least another 2 points.
Hence this is the eventual count of White going first: 1
After this exchange the count is fixed: a, b and c are all dame and the count is 1.
Since Black can next answer a with b, this variation too leads to a count of 1
Hence the value tree looks like this
1 (3)
/ \
4 (1) 1
/ \
5 4
and White is a 3 point sente move, Black being a 3 point reverse sente