Once a monster is successfully summoned, the chain afterwards is the summon response chain. Cards like Bottomless Trap Hole are valid at any link in this chain, and multiple response cards can be used against the same summon.
So after a successful summon, Player A passes priority to his opponent, either by activation an Ignition Effect, Trigger, or Spell Speed 2 card, or by passing it manually. Whatever he does, Player B can activate a Bottomless Trap Hole, either adding it as chain link 2 or starting a chain. Player A could activate something like Royal Decree, which will resolve first and negate the Bottomless Trap Hole. So before anything resolves, Player B could add a second BTH to the chain.
This second BTH will resolve first, destroying and removing the monster from play. Royal Decree will resolve and become active next. The first BTH won't do anything now, it will get negated, and even if it didn't, there's nothing for it to affect.
Note though that if Player A had used a Counter Trap against the BTH, then a second cannot be used, as a Spell Speed 2 card can't be chained to Spell Speed 3.
It can, but probably won't. When Winged Rhynos is summoned, the turn player still has Priority, so when he passes, Bottomless Trap Hole can be used against the summon. Winged Rhynos though has a Quick effect that he can chain to BTH's activation, meaning he will remove himself from the field and BTH will resolve without effect.Even if a second BTH was chained to Winged Rhynos' activation, Winged Rhynos could activate again in chain to that.
Synchro summoned is considered a special summon so Trap Hole won't have an effect on them. But try Bottomless Trap Hole or Torrential Tribute instead.
Torrential Tribute and Bottomless Trap Hole can only be used in response to a monster's summon. Attacking a monster does not summon it (note that if the monster is face down, this is a Flip and not a Flip Summon).
If Mobius chooses to activate his effect, then Trap Hole is chain link 2. Trap Hole will resolve, destroying Mobius, then Mobius' effect will resolve, destroying the targets. If Mobius chooses not to activate, then Trap Hole will either directly be chain link 1 if the turn player does nothing, or again, chain link 2 if he uses his priority for something else. In either case, Trap Hole will resolve and destroy Mobius.
Bottomless Trap Hole destroys the summoned monster as well as removing it, meaning that Stardust Dragon can tribute itself to chain its negating Quick Effect to BTH's activation. This negation effect will resolve, negating and destroying Bottomless Trap Hole. Then in the end phase, Stardust Dragon will summon itself to the field.
Yes, it is a Quick Effect and can be chained to Bottomless Trap Hole.
Bottomless Trap Hole destroys monsters as well as removing them, meaning Stardust Dragon can chain to and negate it.
It can, but probably won't. When Winged Rhynos is summoned, the turn player still has Priority, so when he passes, Bottomless Trap Hole can be used against the summon. Winged Rhynos though has a Quick effect that he can chain to BTH's activation, meaning he will remove himself from the field and BTH will resolve without effect.Even if a second BTH was chained to Winged Rhynos' activation, Winged Rhynos could activate again in chain to that.
there was a bottomless hole of dirt and bugs
Synchro summoned is considered a special summon so Trap Hole won't have an effect on them. But try Bottomless Trap Hole or Torrential Tribute instead.
Torrential Tribute and Bottomless Trap Hole can only be used in response to a monster's summon. Attacking a monster does not summon it (note that if the monster is face down, this is a Flip and not a Flip Summon).
If Mobius chooses to activate his effect, then Trap Hole is chain link 2. Trap Hole will resolve, destroying Mobius, then Mobius' effect will resolve, destroying the targets. If Mobius chooses not to activate, then Trap Hole will either directly be chain link 1 if the turn player does nothing, or again, chain link 2 if he uses his priority for something else. In either case, Trap Hole will resolve and destroy Mobius.
An abyss.
Bottomless Trap Hole does not target, so Tyrant Dragon is unable to negate it.
Bottomless Trap Hole does not target due to the way it can remove multiple monsters. If Bottomless Trap Hole is activated, then Stardust Dragon can be used against it, even if Bottomless Trap Hole was activated in response to Stardust Dragon's own summon.
Bottomless Trap Hole destroys the summoned monster as well as removing it, meaning that Stardust Dragon can tribute itself to chain its negating Quick Effect to BTH's activation. This negation effect will resolve, negating and destroying Bottomless Trap Hole. Then in the end phase, Stardust Dragon will summon itself to the field.
Defender the Magical Knight has a trigger effect that triggers on his successful summon, to add a spell counter to himself. So when he is normal summoned, this effect will activate as chain link 1. The opponent can then chain Bottomless Trap Hole to this. The chain resolves backwards, so Defender is destroyed and removed from play, then his counter adding effect will resolve without effect because Defender has been destroyed. Note that since he was destroyed before his token could be placed, he is unable to save himself using his continuous effect, unless somehow a spell counter can be placed on him by an effect at chain link 3, such as Pitch Black Powerstone.