Hypersmurf is wrong about the casting of the fireball. At I thought you were right but after careful reading I cannot agree.
(I added the emphasis)
My original thinking was: The Wizard 5/Wild Mage 1 would have an base caster level of 3. And thus if he rolls a 1 has access to only spells that a 4th level caster has access to. This may not be the spirit but it is the RAW. Attempting to cast this spell would produce no result and no penalty. It would be the same as a fighter attempting to cast a cantrip. The player simply forgoes the action.
However this logic also dictates that the caster has to reduce spells per day to that of a 3rd level caster. So upon more careful reading I think it is more appropiately read as:
The adjusted caster level is for the spell which is cast. He still retains access to his spells per day (which is what determines if he can cast them.) Thus the caster level used in determining the variable effects of the spell is CL - 3 +1d6.
that interpretation applied to the OP:
1: The Wizard 5/Wild Mage 1 would have a CL of 6, just as he would without the feat.
It increases the caster level of his wizard class by 0 as he has a caster level for each hit die. So the wizards CL goes stays at 6. The Wild Mage's -3 + 1d6 is for the cast spell.
The feat only comes into action when the wizard takes a level that does not increase his existing CL, eg. druid.
2: So the range of the adjusted caster level is 4-10.
3: No. It is not.
Complete Arcane said:Wild Magic: A wild mage casts spells differently from any
other arcane spellcaster. She reduces her caster level by 3 for
all spells she casts from now on. However, every time she casts
a spell, her use of wild magic adds 1d6 to her adjusted caster
level. For example, an 8th-level sorcerer/1st-level wild mage
has a base caster level of 6th, not 9th, but her actual caster
level varies from 7th to 12th for every spell she casts. Caster
level affects all level-based variables of a spell, including spell
penetration checks.
(I added the emphasis)
My original thinking was: The Wizard 5/Wild Mage 1 would have an base caster level of 3. And thus if he rolls a 1 has access to only spells that a 4th level caster has access to. This may not be the spirit but it is the RAW. Attempting to cast this spell would produce no result and no penalty. It would be the same as a fighter attempting to cast a cantrip. The player simply forgoes the action.
However this logic also dictates that the caster has to reduce spells per day to that of a 3rd level caster. So upon more careful reading I think it is more appropiately read as:
The adjusted caster level is for the spell which is cast. He still retains access to his spells per day (which is what determines if he can cast them.) Thus the caster level used in determining the variable effects of the spell is CL - 3 +1d6.
that interpretation applied to the OP:
Nigel Yarrow is a 5th level wizard / 1st level wild mage with the Practiced Spellcaster feat:
* What is the Yarrowstaff's base caster level?
* What is the statistical range of his adjusted caster level?
* In your professional opinion, is this prestige class and feat combination broken?
There are obviously two ways to look at this:feat description said:Benefit: Your caster level for the chosen spellcasting class
increases by 4. This benefit can’t increase your caster level
to higher than your Hit Dice. However, even if you can’t
benefit from the full bonus immediately, if you later gain
Hit Dice in levels of nonspellcasting classes, you might be
able to apply the rest of the bonus.
1: The Wizard 5/Wild Mage 1 would have a CL of 6, just as he would without the feat.
It increases the caster level of his wizard class by 0 as he has a caster level for each hit die. So the wizards CL goes stays at 6. The Wild Mage's -3 + 1d6 is for the cast spell.
The feat only comes into action when the wizard takes a level that does not increase his existing CL, eg. druid.
2: So the range of the adjusted caster level is 4-10.
3: No. It is not.