Reply to thread

Message: <blockquote data-quote="Morrus" data-source="post: 9010615" data-attributes="member: 1">I'm tinkering with a dice pool system and have a stumbling block.The system involves rolling a pool of up to 6 d6s with a 50% chance of 'success' on any given die (3 of the sides have a symbol on then, 3 do not).The target number is a number from 1-6. The player is attempting to get a number of successes equal to the target number, which is usually a Defense score or something.So, if an attacker has 3 dice in their attack pool, and the target defence score is 2, they'd roll the 3 dice and hope for 2 successes.These are the basic odds:<table style='width: 100%'><tr><td>TARGET NUMBER -></td><td>1</td><td>2</td><td>3</td><td>4</td><td>5</td><td>6</td></tr><tr><td>1 die</td><td>50%</td><td>0%</td><td>0%</td><td>0%</td><td>0%</td><td>0%</td></tr><tr><td>2 dice</td><td>75%</td><td>25%</td><td>0%</td><td>0%</td><td>0%</td><td>0%</td></tr><tr><td>3 dice</td><td>87.5%</td><td>50%</td><td>12.5%</td><td>0%</td><td>0%</td><td>0%</td></tr><tr><td>4 dice</td><td>93.8%</td><td>68.8%</td><td>31.3%</td><td>6.25%</td><td>0%</td><td>0%</td></tr><tr><td>5 dice</td><td>96.9%</td><td>81.3%</td><td>50%</td><td>18.75%</td><td>3.2%</td><td>0%</td></tr><tr><td>6 dice</td><td>98.4%</td><td>89%</td><td>65.6%</td><td>34.4%</td><td>10.9%</td><td>1.6%</td></tr></table>Sooo.... the basic problem is that any target number higher than your dice pool is an automatic failure. You can't roll 4 successes on 3 dice.I'm trying to think of solutions to this before I jettison the whole thing and try something else. One is that maybe one of the sides on the attack dice is a critical success and counts as 2 successes? Or explodes? I've no idea how to calculate the odds for that though.Crit x2 -- If a crit counts as 2 successes it just pushes the problem downhill. It makes it less of an issue, but now the impossible targets are those more than twice your attack pool.Crit explodes -- If a crit explodes, the total is potentially 'infinite' so there are no impossible targets (which is good--there should always be a chance, however slim). But does anybody know how I calculate those odds into a table like above?Alternatives -- make everything an opposed roll, so even on a pool of 1 vs a target of 6, there's a chance the defender will roll 0 successes. This slows things down a bit though, which is one reason I've never been super keen on opposed rolls, and the game does have a number of static target numbers for tasks which it would be thematically weird to make an opposed roll (the tree is opposing you climbing it?)</blockquote>

Verification