Put 1 white marble in one jar and the remaining 99 marbles (49 white + 50 black) in the other jar.
Explanation:
- The king has a 50% chance of picking either jar.
- If he picks Jar 1 (1 white marble) → 100% survival.
- If he picks Jar 2 (49 white + 50 black) → You have a 49/99 ≈ 49.49% chance of survival.
Total Probability of Survival:
50% × 100% + 50% × 49.49% = 50% + 24.75% = 74.75%
✅ This setup gives you a 74.75% chance of survival, the highest possible.