Chest Value IN Clash Royale

Hey guys! This is just a short continuation of the last 2 blogs! Thanks so much for stoppin' by! 

Expected Value Calculation

Note: For Arenas 5 and lower, refer to the Google Docs spreadsheet:https://docs.google.com/spreadsheets/d/1cLS07WMuwNWAvvMF5FCxQRi4WoMC62fLor3tb7pXHmM/edit?usp=sharing

(1) Free Chest

Expected Value of a chest	Arena 6	Arena 7	Arena 8
Gold	58.5	65.5	85.5
Commons	7.1594	8.0543	9.8442
Rares	0.8000	0.9000	1.1000
Epics	0.0400	0.0450	0.0550
Legendaries	0.0006	0.0007	0.0008

(2) Crown Chest

Expected Value of a chest	Arena 6	Arena 7	Arena 8
Gold	390	435	570
Commons	46.5361	51.9056	68.0143
Rares	5.2000	5.8000	7.6000
Epics	0.2600	0.2900	0.3800
Legendaries	0.0039	0.0044	0.0057

(3) Silver Chest

Expected Value of a chest	Arena 6	Arena 7	Arena 8
Gold	47	52	68.5
Commons	7.3171	8.2317	10.0610
Rares	0.6667	0.7500	0.9167
Epics	0.0160	0.0180	0.0220
Legendaries	0.0002	0.0003	0.0003

(4) Golden Chest

Expected Value of a chest	Arena 6	Arena 7	Arena 8
Gold	156	174.5	228
Commons	23.3074	25.9967	34.0647
Rares	2.6000	2.9000	3.8000
Epics	0.0912	0.1018	0.1333
Legendaries	0.0014	0.0015	0.0020

(5) Magical Chest

Expected Value of a chest	Arena 6	Arena 7	Arena 8
Gold	468	522	684
Commons	59.7610	66.6565	87.3429
Rares	15.6000	17.4000	22.8000
Epics	2.6000	2.9000	3.8000
Legendaries	0.0390	0.0435	0.0571

(6) Giant Chest

Expected Value of a chest	Arena 6	Arena 7	Arena 8
Gold	1248	1392	1824
Commons	186.7778	208.3290	272.9829
Rares	20.8000	23.2000	30.4000
Epics	0.4160	0.4640	0.6080
Legendaries	0.0062	0.0070	0.0091

(7) Super Magical Chest

Expected Value of a chest	Arena 6	Arena 7	Arena 8
Gold	2808	3132	4104
Commons	358.5658	399.9387	524.0577
Rares	93.6000	104.4000	136.8000
Epics	15.6000	17.4000	22.8000
Legendaries	0.2342	0.2613	0.3423

 Expected income per cycle from chests AND donations and daily battles

We assume you are not gemming the cycle.

At Arena 6, you get an extra 280 gold per day from battles, and 600 gold per day from donations, and you receive 6 rares per day. You lose 60 commons and 6 rares per day.

At Arena 7, you get an extra 300 gold per day from battles, and 900 gold per day from donations, and you receive 9 rares per day. You lose 90 commons and 9 rares per day.

At Arena 8, you get an extra 400 gold per day from battles, and 1200 gold per day from donations, and you receive 12 rares per day. You lose 120 commons and 12 rares per day.

Expected Income	Arena 6	Arena 7	Arena 8
Gold	96,061	116,773	154,171
Commons	4978	4568	5577
Rares	885	990	1265
Epics	49.1	54.9	70.7
Legendaries	0.74	0.82	1.06

(C) Expected progress percentage (excluding upgrade gold) towards max per cycle from chests and donations

Expected Progress	Arena 6	Arena 7	Arena 8
Commons	3.25%	2.98%	3.64%
Rares	2.14%	2.39%	3.06%
Epics	0.75%	0.84%	1.08%
Legendaries	0.41%	0.46%	0.59%

(D) Gained gold progress percentage towards upgrading for max cards per cycle

Total gold required to upgrade every troop to max levels: 9,949,400

Expected Progress	Arena 6	Arena 7	Arena 8
Gold	0.97%	1.17%	1.55%

(E) Most optimal progress percentage towards upgrading for max cards per cycle for buying epics and legendaries from the shops in Arena 8

Epics bought per cycle	Legendaries bought per cycle	Epic Progress	Legendary Progress	Gold Progress
2	1	1.11%	1.14%	1.11%

If you spend 500 gems per cycle on gold,

Epics bought per cycle	Legendaries bought per cycle	Epic Progress	Legendary Progress	Gold Progress
5	1	1.15%	1.14%	1.14%

Don't forget to comment some of your ideas, it really helps! If in need of a clan, join DiamonDragonz! Thank you so much for stopping by, I'll talk to ya next time!