If you haven't seen it already, the spoiler for Angled Deflectors is out now, and we can put reinforce on a lot of ships that never had it before. I had to recalibrate my thinking for what this actually means, given that it's not been possible previously to put it on something with more than 1 agility. As such, I went through and checked a few key probabilities to figure out whether this is even something I care about playing with. Bottom line up front, it's potentially super strong on force users - in combination with force, angled deflectors can reduce variance swings against your end-game piece substantially and increase the likelihood of your win condition making it to the end-game. On the other hand, you're giving up a shield off the bat, so you're paying for the reduced variance by effectively taking a hit to begin with.
Please note that this is exemplary... you should still think about what it means for you and your list. If you'd like to play with different scenarios (e.g., Reinforce + focus), give it a shot at: http://xwing.gateofstorms.net/2/multi/
All calculations assume 3 incoming hits and calculate the average damage and probability for each number of hits . Lines with "+ Force" indicate exactly 1 force point.
In the sample lines below, this denotes that 3 green dice with a focus token will take an average of 1.13 damage from the 3 incoming hits. You'll take at least 1 hit 75% of the time, at least 2 hits 31% of the time, and 3 hits 5% of the time.
Average 1 hit 2 hit 3 hit
3G + Focus: 1.13 0.75 0.31 0.05
Results
Average 1 hit 2 hit 3 hit
4G + Focus: 0.65 0.48 0.15 0.02
4G + Evade: 0.67 0.51 0.15 0.00
4G + Reinforce: 1.00 0.84 0.15 0.00
4G + Reinforce + Force: 0.65 0.63 0.02 0.00
4G + Evade + Force: 0.25 0.23 0.02 0.00
4G + Nothing: 1.52 0.84 0.51 0.15
Average 1 hit 2 hit 3 hit
3G + Focus: 1.13 0.75 0.31 0.05
3G + Evade: 0.93 0.68 0.24 0.00
3G + Reinforce: 1.19 0.95 0.24 0.00
3G + Reinforce + Force: 0.89 0.84 0.05 0.00
3G + Evade + Force: 0.46 0.40 0.05 0.00
3G + Nothing: 1.88 0.95 0.68 0.24
Average 1 hit 2 hit 3 hit
2G + Focus: 1.75 1.00 0.60 0.14
2G + Evade: 1.39 1.00 0.39 0.00
2G + Reinforce: 1.39 1.00 0.39 0.00
2G + Reinforce + Force: 1.14 1.00 0.14 0.00
2G + Evade + Force: 1.14 1.00 0.14 0.00
2G + Nothing: 2.25 1.00 0.86 0.39
Average 1 hit 2 hit 3 hit
1G + Focus: 2.38 1.00 1.00 0.38
1G + Evade: 2.00 1 .00 1.00 0.00
1G + Reinforce: 1.625 1.00 0.63 0.00
1G + Reinforce + Force: 1.38 1.00 0.38 0.00
1G + Evade + Force: 2.00 1.00 1.00 0.00
1G + Nothing: 2.63 1.00 1.00 0.63
Of course, when you reinforce, you don't have a green token to mod your attack shot. This math should be a lot more familiar to people, but it's worth looking at how much it hurts your attack efficiency? Fundamentally the same format as above - average is the amount of hits you expect on average, with percentile amounts for how often you can expect at least that many results.
If you’re throwing…
Average 1 hit 2 hit 3 hit 4 hit
4R + Focus: 3.00 0.99 0.94 0.73 0.31
4R + Force: 2.60 0.99 0.90 0.59 0.18
4R + Nothing: 2.00 0.93 0.68 0.31 0.06
3R + Focus: 2.25 0.98 0.84 0.42
3R + Force: 2.08 0.98 0.78 0.31
3R + Nothing: 1.50 0.88 0.50 0.13
2R + Focus: 1.50 0.93 0.56
2R + Force: 1.44 0.93 0.50
2R + Nothing: 1.00 0.75 0.25
Fixed a typo. Added Evade + Force lines.