The free ways to get troops are daily summon, summons token ( silver color ) and epic troop token ( gold color ).

Only epic troop token ( gold color ), has a chance of 4* troops. Based on RNG you could go months or years without a 4* Troop. Once you get a 4* Troop, you could go decades without a rainbow set of 4* troops.

Generally 3* lvl 10 troops = 4* lvl 1 troops and 3* lvl 20 troops = 4* lvl 11 troops so I would concentrate on your 3* troops for now.

### Notes

### Math

Two epic troop tokens a month

10% chance of a 4* Troop

20% chance of a 4* Troop per month

X tokens for 99% chance

( 1 - 0.2 ) ^ x = 0.01%

0.8 ^ x = 0.01

X = log ( 0.01 ) / log ( 0.8 )

= 20.63

= 1 year 8 months

Check

0.8 ^ 20.63= 0.1

Out of 10k players

100+ will go 10 months without a 4* Troop

2% chance of a green 4* Troop

4% chance of a green 4* Troop per month

X tokens for 99% chance

( 1 - 0.04 ) ^ x = 0.01%

0.96 ^ x = 0.01

X = log ( 0.01 ) / log ( 0.96 )

= 112.811

= 9 years 4 months

Check

0.96 ^ 112.811= 0.01

Out of 10k players

100+ will go 5 years without a green 4* Troop