Ballista critical strike chance

I am having a bit of trouble calculating the ballista critical strike chance when using for example this build.

The build assumes that the critical strike chance for the ballistas is capped. What are the calculations involved?

By my calculations I am getting a critical strike chance of 99.84% for the ballistas using the linked build (endgame or aspirational builds). Am I correct?

MaxRoll is an abomination because it doesn’t want to display the node text if you click on it on my phone.

Your Ballista will have a base crit of 18 % (base 5% + 2x4% minion crit from phantom grip + 2x2% player crit from phantom grip + 3% from the crit node in Ballista). Assuming the target has capped stacks of crit vulnerability (target has an additional 20% chance to be crit, this is not affected by your % increased crit), you only need to hit 80% crit chance, so you’d need a total of 345% increased crit chance for your minion (4 points in Perfect Aim applies player flat & % crit chance to your Ballista at 100% so you have more options on how to hit that 345% increased (eg, 100% increased player & 245% increased minion is functionally equivalent to 245% increased player & 100% increased minion, or 345% increased player or 345% increased minion).

If you’re struggling to hit that, a second point in Sharpened Tips increases the Ballista’s flat crit to 21% which reduces the need for % increased to 281%.

My calculations are not in line with yours. My calculations were the following:

Base crit chance 5%

Two rings of +4% each

Ballista’s Nod +3%

Passive bonus +5%

Total 21% critical strike chance for the ballistas skill.

The remaining calculations regarding the critical strike chance increase from “Needle like precision” passive and the “Perfect aim” skill node I am not certain they are correct.

Should the critical strike chance increase from “needle like precision” be multiplied before or after adding my critical strike chance (perfect aim)? Also, wich critical strike chance should I use for my char, melee or bow critical strike chance (53% vs 70%)?