Starting with just 50 coins, your goal is to obtain a Legendary card by purchasing as few chests as possible. This guide will help you strategize the most efficient path to achieve this objective.

Understanding the Chests

First, let's categorize the chests based on their potential to drop Legendary cards:

Direct Legendary Chests (Guaranteed or High Chance)

• 1 Legendary chest - 8000 coins (100% Legendary)
• Cursed Legendary Chest - 1700 coins (100% Legendary)
• Super Mega Legendary Chest - 3000 coins (20% Legendary)
• Mega Legendary Chest - 1500 coins (10% Legendary)
• Legendary Chest - 1200 coins (5% Legendary)

Chests with Small Legendary Chance

• Lucky Chest 3 - 2000 coins (1% Legendary)
• Rare Chest - 300 coins (1% Legendary)
• Abnormal Chest - 800 coins (1% Legendary)
• Mystery Chest - 900 coins (1% Legendary)

Optimal Strategy

Phase 1: Early Game (50-300 coins)

With your initial 50 coins, you can't afford any chests that have Legendary chances. Your priority should be building your coin balance:

• Start with Standard Chest (10 coins) to begin building your collection
• As you accumulate more coins, move to Standard Chest 2 (50 coins) for better value
• Save until you can afford your first strategic purchase

Phase 2: First Legendary Attempt (300+ coins)

Once you reach 300 coins, you have your first realistic chance at a Legendary:

• Best value: Rare Chest (300 coins, 1% Legendary chance)
• If unsuccessful, continue saving for better odds

Phase 3: Mid-Game Strategy (800-1700 coins)

With higher balances, consider these options:

• Cursed Legendary Chest (1700 coins) - Guaranteed Legendary
• Mega Legendary Chest (1500 coins) - 10% Legendary chance
• Legendary Chest (1200 coins) - 5% Legendary chance

Optimal Path Analysis

The mathematically optimal path depends on your risk tolerance:

Guaranteed Path (Most Reliable)

1. Save coins without spending until you reach 1700
2. Purchase the Cursed Legendary Chest
3. Total chests purchased: 1

High Probability Path (Fewer Chests)

1. Save to 1500 coins
2. Purchase Mega Legendary Chest (10% chance)
3. If unsuccessful, save another 300 for Rare Chest
4. Expected chests purchased: 2-3

Riskier Path (Potentially Fewer Chests)

1. At 300 coins, buy Rare Chest (1% chance)
2. If unsuccessful, continue saving for better chests
3. This gives you an early chance but may result in more total chests

Final Recommendation

The most efficient strategy with the fewest chest purchases is:

1. Do not spend any coins initially
2. Save until you have 1700 coins
3. Purchase the Cursed Legendary Chest

This guarantees you get a Legendary card after purchasing just one chest, making it the most efficient method possible.

Alternative Consideration

If you're willing to accept some risk for potentially faster results:

1. Save to 1200 coins
2. Purchase Legendary Chest (5% chance)
3. If unsuccessful, save to 1700 for guaranteed chest
4. This gives you a 5% chance at 1200 coins, with fallback to guaranteed at 1700

Conclusion

While there are multiple paths to obtain a Legendary card, the most efficient method with the fewest chest purchases is to save for the Cursed Legendary Chest. This guarantees success with just one purchase, making it the ultimate strategy for your objective.