What is the correct cube action in these three positions for both black and white?

In case you haven't noticed it already, all these are doubles by white. What is interesting is the take decision and it is one that I got wrong and passed each of them. It is easy to quickly look at the positions and see the negatives. We must train ourselves to look past that and to the positives of a position before making up our mind.

In position A, -ve: Black has one on the bar and a blot, white has a three point board and two spares to cover, white has a good anchor. Now, before we pass, let's look at the +ve: Black has a 3 point board of their own and 4 points made in front of whites anchor, good timing, whites 2's are duplicated and if white doesn't roll a 2 or 4 white may not have a great move to make and black has a good chance to get in to the game again. Black should take.

Let's do the same for position B. -ve: 1 on the bar and the back men split behind a 4 point board. +ve: White has a 3 point board so plenty of chances to get in next roll which might well make an anchor, white only has an indirect shot at the back checkers, black has a decent board of it's own, white has 3 checkers which need to be moved around the board, black still has the midpoint, black is slightly ahead in the pip count. Again, there are enough positives to make this a take.

In position C black is about to get blitzed to hell. How can this be a take? -ve: 1 on the bar, one man back, white has lots of builders and spares to hit or cover the 1-point. +ve: Black has a stronger board at the moment, white has a blot on the 1-point, white has a back man which needs to be escaped, the pip count is slightly in blacks favour and black still has it's midpoint. If black gets a hit next turn white could be in serious trouble and with black having the stronger board white has to be careful not to get hit. It's a triple blunder to pass.