Launch Loot Box Reward Probabilities

the tables below show the detailed distribution of rewards for different lootbox tiers across three categories bronze, silver, and gold each loot box tier is associated with a range of staked amounts, which determine the probability of receiving certain rewards, expressed as drop rates loot boxes distrubuted during forkast's launch are first come first serve! a 3x tge multiplier is applied only for month 1 tge lootboxes bronze loot box tier required stake (cgx) p(a) p(b) p(c) p(d) a b c d 1 200 400 58 00% 30 00% 10 00% 2 00% $0 035 $0 050 $0 125 $0 750 2 400 600 58 00% 30 00% 10 00% 2 00% $0 070 $0 100 $0 250 $1 500 3 600 800 58 00% 30 00% 10 00% 2 00% $0 105 $0 150 $0 375 $2 250 4 800 1000 58 00% 30 00% 10 00% 2 00% $0 140 $0 200 $0 500 $3 000 5 1000 1200 58 00% 30 00% 10 00% 2 00% $0 175 $0 250 $0 625 $3 750 6 1200 1400 58 00% 30 00% 10 00% 2 00% $0 210 $0 300 $0 750 $4 500 7 1400 1600 58 00% 30 00% 10 00% 2 00% $0 245 $0 350 $0 875 $5 250 8 1600 1800 58 00% 30 00% 10 00% 2 00% $0 280 $0 400 $1 000 $6 000 9 1800 2000 58 00% 30 00% 10 00% 2 00% $0 315 $0 450 $1 125 $6 750 silver loot box tier required stake (cgx) p(a) p(b) p(c) p(d) a b c d 1 2000 4000 58 00% 30 00% 10 00% 2 00% $0 35 $0 50 $1 25 $7 50 2 4000 6000 58 00% 30 00% 10 00% 2 00% $0 70 $1 00 $2 50 $15 00 3 6000 8000 58 00% 30 00% 10 00% 2 00% $1 05 $1 50 $3 75 $22 50 4 8000 10000 58 00% 30 00% 10 00% 2 00% $1 40 $2 00 $5 00 $30 00 5 10000 12000 58 00% 30 00% 10 00% 2 00% $1 75 $2 50 $6 25 $37 50 6 12000 14000 58 00% 30 00% 10 00% 2 00% $2 10 $3 00 $7 50 $45 00 7 14000 16000 58 00% 30 00% 10 00% 2 00% $2 45 $3 50 $8 75 $52 50 8 16000 18000 58 00% 30 00% 10 00% 2 00% $2 80 $4 00 $10 00 $60 00 9 18000 20000 58 00% 30 00% 10 00% 2 00% $3 15 $4 50 $11 25 $67 50 gold loot box tier required stake (cgx) p(a) p(b) p(c) p(d) a b c d 1 20000 40000 58 00% 30 00% 10 00% 2 00% $3 50 $5 00 $12 50 $75 00 2 40000 60000 58 00% 30 00% 10 00% 2 00% $7 00 $10 00 $25 00 $150 00 3 60000 80000 58 00% 30 00% 10 00% 2 00% $10 50 $15 00 $37 50 $225 00 4 80000 100000 58 00% 30 00% 10 00% 2 00% $14 00 $20 00 $50 00 $300 00 5 100000 120000 58 00% 30 00% 10 00% 2 00% $17 50 $25 00 $62 50 $375 00 6 120000+ 58 00% 30 00% 10 00% 2 00% $21 00 $30 00 $75 00 $450 00 how to read the loot box tables the loot box tables provide information on the rewards that users can earn by staking cgx tokens at different levels to make the process clearer, let's break down the key elements and provide an example loot box tier this refers to different levels of lootboxes, based on how much cgx you stake each tier corresponds to a staking range required stake (cgx) this is the amount of cgx you need to stake in order to open a loot box in that tier for example, if you want to open a tier 1 loot box in the bronze category, you need to stake 200 400 cgx tokens p(a) to p(d) these columns represent the probability (chance) of receiving different rewards each probability corresponds to a specific category of reward a to d these columns represent the platform credit (pc) rewards that correspond to each probability let's take an example from the bronzetier 5 lootbox loot tier required stake (cgx) p(a) p(b) p(c) p(d) a b c d 5 1000 1200 58 00% 30 00% 10 00% 2 00% $0 250 $0 625 $0 3750 $4 69 if you stake between 10000 and 12000 cgx tokens , the following probabilities apply for platform credits 58 % chance to receive $0 175 platform credits (column a) 30 00% chance to receive $0 250 platform credits (column b) 10 00% chance to receive $0 625 platform credits (column c) 2 00% chance to receive $0 3750 platform credits (column d) how to calculate expected value (ev) let's demonstrate how to calculate the expected value (ev) for bronze tier 5 for platform credits \text{ev} {\text{pc}} = (0 175 \times 58 00\\%) + (0 250 \times 30 00\\%) + (0 625 \times 10 00\\%) + (3 750 \times 2 00\\%) \\\\ \text{ev} {\text{pc}} = 0 1015 + 0 0750 + 0 0625 + 0 075 \\\\ \text{ev} {\text{pc}} = 0 3140 \text{ platform credits per lootbox} how to calculate apy to estimate your apy, let's consider bronze tier 5 suppose you stake 1,000 cgx, and with the tge 3x multiplier, it effectively counts as 3,000 cgx take these into consideration an expected value of 0 3140 platform credits for this lootbox to understand how this value is calculated you can visit the calculating expected value (ev) docid\ hxg9o4l2z4sep70ranqui article and read more there a 3x tge multiplier is applied only for the month 1 forkast launch \text{yearly pc rewards} = 0 3140 \text{ pc} \times 12 \text{ months} \times 3 \text{ (tge multiplier)} = 11 3040 \text{ pc per year} to calculate apy, assuming cgx is valued at $0 04 \text{yearly value} = 11 3040 \text{ pc} \\\\ \text{stake value} = 1000 \text{ cgx} \times 0 04 = 40 therefore, the apy would be \text{apy} = \frac{\text{yearly value}}{\text{stake value}} \times 100 \\\\ \text{apy} = \frac{11 3040}{40 00} \times 100 = 28 26\\% note that this apy calculation includes only platform credit rewards assumes monthly lootbox claims does not account for potential changes in cgx price represents an expected value based on probability distributions includes the forkast launch 3x multiplier on platform credits