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  1. This one's probably going to be an odd question and I don't know if someone's already done this, but thought I might throw this out as a question to any math/probability nerds around (and all glory and honor to thee, math nerds, because even though I'm a university history major most high school math lies far beyond my grasp) but I was trying to work this out for a friend of mine who's been stockpiling her orbs. She's waiting on some of her faves (one blue and one green both in the 4*-5* group specifically) and I'm trying to figure out if it works out better from a probability point of view for her to just stick to summoning blue and green or if it works out better from a probability vs. cost point of view to just keep doing a full summon each time. So, trying to work it out myself, I started with identifying the number of each unit in-game by color and star: 5* - Red 18, Blue 12, Green 9, Colorless 9 4* - Red 26, Blue 19, Green 15, Colorless 20 3* - Red 15, Blue 12, Green 9, Colorless 13 And then I tried to break each down to a percentage chance per unit by color: Red Orb: 3% for Focus (if applicable) 3% for 5*, 1/18 of 3% which would basically work out to 0.167% per character 36% for 4*, 1/26 of 36% which would basically work out to 1.38% per character 61% for 3*, 1/15 of 61% which would basically work out to 4.07% per character Blue Orb: 3% for Focus (if applicable) 3% for 5*, 1/12 of 3% which would basically work out to 0.25% per character 36% for 4*, 1/19 of 36% which would basically work out to 1.89% per character 61% for 3*, 1/12 of 61% which would basically work out to 5.08% per character Green Orb: 3% for Focus (if applicable) 3% for 5*, 1/9 of 3% which would basically work out to 0.33% per character 36% for 4*, 1/15 of 36% which would basically work out to 2.4% per character 61% for 3*, 1/9 of 61% which would basically work out to 6.78% per character Colorless: 3% for Focus (if applicable) 3% for 5*, 1/9 of 3% which would basically work out to 0.33% per character 36% for 4*, 1/20 of 36% which would basically work out to 1.8% per character 61% for 3*, 1/13 of 61% which would basically work out to 4.69% per character But this leaves me with a few questions that I was hoping anyone who's been working with stats for the game so far would be able to clarify: If the color isn't in focus, does that 3% just not apply? Is there an equal chance of getting the four different colors in a five-summon group or is it distributed based on the number of units in each category? (With higher chance for example of red showing up in a summoning block than, say, green?) And if one could work out an overage or a percentage of the number of times that a color would appear in the summoning group, could one then use this to more or less predict, if dumping a set number of orbs in (say 100 orbs in one batch for example), what the probability would be of coming up with certain characters? Most of what I'm managing to accomplish with this is hurting my brain at this point, lol, but I'm wondering if anyone could either fill in some blanks or make corrections to where I'm making any wrong assumptions or guesswork on this.
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