tomBitonti
Hero
Adding the second banshee considerably worsens the players chances.
If saves are 10% likely to be successful, the chances of two failures go from 1% to 3.6% if the number of banshees is increased from one to two.
This issue of stacking saves is a problem of encounter design: There are big, non-linear increases in the chance of total failures. That is to say, adding a dozen more bugbears has a very different effect than adding a dozen harpies. Attacks add linearly to damage. Pass-fail saves add non-linearly.
The lesson that I've learned is to avoid stacking save effects. Change the encounter from two banshees to one banshee plus another creature.
Net:
Result | 1B | 2B
1F1P | 0.18 | 0.3078
2F | 0.01 | 0.0361
2P | 0.81 | 0.6561
One save, two characters, 10% failure chance
FF 0.01
FP 0.09
PF 0.09
PP 0.81
1F1P = 0.18
2F = 0.01
2P = 0.81
Two saves, two characters, 10% failure chance
PPFF 0.0081
PFFX 0.009
FPXF 0.009
FFXX 0.01
PPPF 0.0729
PPFP 0.0729
FPXP 0.081
PFPX 0.081
PPPP 0.6561
1F1P = 0.3078
2F = 0.0361
2P = 0.6561
TomB
If saves are 10% likely to be successful, the chances of two failures go from 1% to 3.6% if the number of banshees is increased from one to two.
This issue of stacking saves is a problem of encounter design: There are big, non-linear increases in the chance of total failures. That is to say, adding a dozen more bugbears has a very different effect than adding a dozen harpies. Attacks add linearly to damage. Pass-fail saves add non-linearly.
The lesson that I've learned is to avoid stacking save effects. Change the encounter from two banshees to one banshee plus another creature.
Net:
Result | 1B | 2B
1F1P | 0.18 | 0.3078
2F | 0.01 | 0.0361
2P | 0.81 | 0.6561
One save, two characters, 10% failure chance
FF 0.01
FP 0.09
PF 0.09
PP 0.81
1F1P = 0.18
2F = 0.01
2P = 0.81
Two saves, two characters, 10% failure chance
PPFF 0.0081
PFFX 0.009
FPXF 0.009
FFXX 0.01
PPPF 0.0729
PPFP 0.0729
FPXP 0.081
PFPX 0.081
PPPP 0.6561
1F1P = 0.3078
2F = 0.0361
2P = 0.6561
TomB