IT has to be a kamikaze game doesn't have to be deathmatch unless they changed it from the last marble event. Also all marble games have to be at least 2 v 2 to count I think
When you land on Furlough you need to play 1 CQC Deathmatch Kamikaze mode (this is one hit kill pistold, rifle or sniper mode) as pointed out by cheifwahooo. You can then choose the spot by clicking on the desired tile (for example, if you click on 'jail', you will cross the entire board and go to jail, if you click on the zombie maps, you will only go a couple steps forward. Here is a quick list of the marble rules:
CQC & Battle Group maps: Room with 4 players or more that has taken more than 5 minutes.
PvE maps: It needs to be more than 10 minutes.
Furlough: You have to play CQC deathmatch in kamikaze mode.
Jail: You can play any of the above rules, you need to do this 5 times.
Start, free play: You can play any of the above rules.
note: I changed your title, I hope that other players will click on this topic and find the answer easier that way :)
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Also all marble games have to be at least 2 v 2 to count I think