Reward value

https://hearthstone.gamepedia.com/Arena

We first convert all card packs to gold, and all cards to their dust value. The final result is a tuple of (gold, dust).

For reward pools, we take all possible rewards, normalize their ranges to the mean average, divide each possible reward by the total amount of possible rewards (assuming even distribution of all rewards and ranges).

Arena

0 wins

• 1 pack = 100 gold
• 1 of 25-40 gold, 25-40 dust, 1 common card
• = 1 of 32.5 gold, 32.5 dust, 5 dust
• = 10.83 gold + 10.83 dust + 1.7 dust

Total value: 110.83 gold, 12.53 dust

1 win

• 1 pack = 100 gold
• 1 of 30-50 gold, 25-50 dust, 1 common card, 1 card pack
• = 1 of 40 gold, 37.5 dust, 5 dust, 100 gold
• = 10 gold + 9.375 dust + 1.25 dust + 25 gold

Total value: 135 gold, 10.625 dust

2 wins

• 1 pack = 100 gold
• 1 of 40-60 gold, 40-50 dust, 1 common card, 1 rare card, 1 card pack

3 wins

• 1 pack = 100 gold
• 25-35 gold = 30 gold
• 1 of 20-25 gold, 20-25 dust, 1 common card, 1 rare card, 1 card pack

4 wins

• 1 pack = 100 gold
• 40-60 gold = 50 gold
• 1 of 20-30 gold, 20-25 dust, 1 common card, 1 rare card, 1 card pack

5 wins

• 1 pack = 100 gold
• 45-60 gold = 52.5 gold
• ...

6 wins

• 1 pack = 100 gold
• 75-85 gold = 80 gold
• ...

7 wins

• 1 pack = 100 gold
• 150-160 gold = 155 gold
• ...

5 wins

• 1 pack = 100 gold
• ...

5 wins

• 1 pack = 100 gold
• ...

5 wins

• 1 pack = 100 gold
• ...

5 wins

• 1 pack = 100 gold
• ...

5 wins

• 1 pack = 100 gold
• ...