In first hand, T9hh, I disagree with Collin Moshman, I think hero shouldn't bluff on the flop. The reason is that villain should have 33 and 22 here, because players are very deep. In these spots, where villain can have 2 sets and variety of top pairs, OOP player should check range. If hero wants to bluff for whatever reason, he has a lot of better candidates, like double backdoors. Turn bluff is good, because A is good for us, but also this hand is bottom of our range. On the river, imo, we definitely should bluff with bit sizing. We have a lot of strong hands, like AA, KK, AK, AJ, JJ, QT. On top of that we block straight (though I think it's not very important, but it's something) and we can make villain fold K and weak A. Mandatory overbet bluff river.
In second hand, where hero has AdTs, I agree that hero shouldn't bluff turn, however once hero bets turn and villain calls, with this particular hand we need to bluff river. Reason is that, board is dry and when villain calls turn, villain most likely to have some sort of pair, like 2, 5, or 8. River 9d is great for us, because we can have K9, 99, 98,76 and flushes, so on this river we have a lot of very strong hands that we want to bet large. AdT is great to bluff because we block flush and have very little showdown value because of our turn bet. Mandatory overbet bluff river.
On 73ss hand I again disagre with Collin Moshman. On the river, this is very bottom of our range and villain can have a lot of missed hands that beat us. By betting we can make villain fold all missed flush and straight draws, small pocket pairs and some 8x hands. We definitely should check back some weaker Kx and and good Tx hands on the turn, so on this river we will bet them, so we have value hands to bet. I don't like hero's bet sizing though, I would prefer smaller sizing because our value range is quite weak.
Hero is very weak, you can tell just by his betting half pot on all type of boards.
