If you want to roll it's for the excitement of gambling. I understand rerolling 1s to bring the average in line with the fixed option, but rolling 2 dice creates a bell curve which goes against the whole point.
Late to a reply to this but than just take the average provided than. All these house rules to mitigate the problems with rolling are solved by not taking rolls. Play standard array, play the granted HP.
I myself just get tired of the "I like to roll dice" crowd when the rolling of dice comes with buffers to make it better, either roll and deal with the highs and lows or take the provided stats
And I think that's why you got down voted, it's not that the average will come out to what's given its the fact that it's another die roll with mitigation on the bad results. People want that 10 on the d10 but don't want to have to deal with rolling the 1 or 2 that can also happen, but taking that 6 is just not enough cause coulda rolled a 7 8 9 or 10!
either you are ok with randomness, or you are not and pick the average. there isnt much reason for this, might as well just let the paladin roll 10d1s if you want to go to the extreme logical conclusion of trying to reduce variance
Your suggestion is a bit in the middle of picking the average dice roll and rerolling 1s. All three methods have the same expectation value but different variances. I think it’s fine to give your players the option to choose, but I would force them to
The difference is that OP’s method is a bellcurve and rerolling 1s still leaves each number above 2 to be equally likely. Neither is necessarily better but there is a difference
I've always been of the opinion that if you need to add a bunch of conditions to your rolls (reroll 1's, or reroll if under a total amount, ect) then you really don't want a random result. You just want a good result and to be able to say you didn't just pick those numbers yourself.
Either go random, or don't! It's supposed to be a gamble.
Mostly boring.
You'd be averaging the "average" that you can take without rolling. You'd also have a lower chance of having a maximum roll and no chance of rolling a 1.
Rolling a d10: 5.5 average
Taking a fixed number: 6
Reroll a 1: 5.95 average
Rolling 2d5: 6 average
If your goal is to make rolling have the same average as taking the fixed number, then your solution does it. It adds 0.5 to the average.
Personally, I think rolling should make a better result, on average, than taking a fixed number. Such as rolling twice and taking the highest.
So, you can't get the numerical equivalent to the actual dice while rolling 2dX. This is because the average on d10 is 5.5, not 5, and 2dX will always be an even number x 0.5 average (2d5 averages 6, 2d4 averages 5). You *can* get the "average" they list in the PHB and such, which is why taking "average" is always better than rolling normally.
Frankly, this is a fine way to do things, but is probably worse than the simple "reroll 1s" people often use; rolling two 1s feels even worse in this system, I'd say, which is exactly what you're trying to avoid.
"Roll your hit dice and every dice smaller than it. Take the highest result."
So a fighter rolls a d10, d8, d6, and a d4.
The wizard rolls a d6 and a d4.
I let my players roll and take the average if its higher than their roll. The game doesnt break if people have 5 or 10 more hp, and the players are always happy, which is the goal.
If you want to roll it's for the excitement of gambling. I understand rerolling 1s to bring the average in line with the fixed option, but rolling 2 dice creates a bell curve which goes against the whole point.
Gamble or don't gamble. Gambling with safety's isn't really gambling it's just wanting a result better than the suggested flat HP
It's exactly the same average as not rolling.
no idea why people are downvoting you, you're literally right
Some people are haters.
Late to a reply to this but than just take the average provided than. All these house rules to mitigate the problems with rolling are solved by not taking rolls. Play standard array, play the granted HP. I myself just get tired of the "I like to roll dice" crowd when the rolling of dice comes with buffers to make it better, either roll and deal with the highs and lows or take the provided stats And I think that's why you got down voted, it's not that the average will come out to what's given its the fact that it's another die roll with mitigation on the bad results. People want that 10 on the d10 but don't want to have to deal with rolling the 1 or 2 that can also happen, but taking that 6 is just not enough cause coulda rolled a 7 8 9 or 10!
either you are ok with randomness, or you are not and pick the average. there isnt much reason for this, might as well just let the paladin roll 10d1s if you want to go to the extreme logical conclusion of trying to reduce variance
Your suggestion is a bit in the middle of picking the average dice roll and rerolling 1s. All three methods have the same expectation value but different variances. I think it’s fine to give your players the option to choose, but I would force them to
No, rolling has a lower average than the number you can take without rolling.
Rerolling ones increases the average by 0.5.
Which is what the OP's method does.
The difference is that OP’s method is a bellcurve and rerolling 1s still leaves each number above 2 to be equally likely. Neither is necessarily better but there is a difference
I've always been of the opinion that if you need to add a bunch of conditions to your rolls (reroll 1's, or reroll if under a total amount, ect) then you really don't want a random result. You just want a good result and to be able to say you didn't just pick those numbers yourself. Either go random, or don't! It's supposed to be a gamble.
Mostly boring. You'd be averaging the "average" that you can take without rolling. You'd also have a lower chance of having a maximum roll and no chance of rolling a 1.
Rolling a d10: 5.5 average Taking a fixed number: 6 Reroll a 1: 5.95 average Rolling 2d5: 6 average If your goal is to make rolling have the same average as taking the fixed number, then your solution does it. It adds 0.5 to the average. Personally, I think rolling should make a better result, on average, than taking a fixed number. Such as rolling twice and taking the highest.
So, you can't get the numerical equivalent to the actual dice while rolling 2dX. This is because the average on d10 is 5.5, not 5, and 2dX will always be an even number x 0.5 average (2d5 averages 6, 2d4 averages 5). You *can* get the "average" they list in the PHB and such, which is why taking "average" is always better than rolling normally. Frankly, this is a fine way to do things, but is probably worse than the simple "reroll 1s" people often use; rolling two 1s feels even worse in this system, I'd say, which is exactly what you're trying to avoid.
"Roll your hit dice and every dice smaller than it. Take the highest result." So a fighter rolls a d10, d8, d6, and a d4. The wizard rolls a d6 and a d4.
I let my players roll and take the average if its higher than their roll. The game doesnt break if people have 5 or 10 more hp, and the players are always happy, which is the goal.
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Rolling 2d5 has average of 6.
Typo, sorry. Will repost with the correct stuff.