"On average, there will be 37% chance of getting shiny by research breakthrough from May to June."

#PokemonGO: We have four legendaries from research breakthrough that can be shiny. If you finish the first breakthrough of May no later than May 5th and don't waste any single day in between, you should be able to finish nine research breakthrough. Also, since the shiny rate from research breakthrough is 1/20, the chance of getting at least one shiny from research is one minus the chance of not getting any shiny from all nine research breakthroughs.As a result, the chance of getting a shiny from May/June research is1 - (19/20)9 = 37%.So basically one in three players will get a shiny from May/June research breakthrough. via /r/TheSilphRoad http://bit.ly/2UBh0wZ