Assuming use of the optimal mining pattern from this question at levels 11-15; will a diamond pickaxe on average find enough diamonds to make another before it runs out? Or, put another way, is mining for diamond with a diamond pickaxe sustainable?
Answers covering both single player and smp would be nice.
Best Answer
Further analysis of Diamond probabilities:
Facts we need:
Simple math after this point:
So you can expect to find 7.5 diamonds per diamond pick in the worst case scenario with average luck so you will increase your pick count.
You want the floor of your dig to be at level 11 to avoid dropping into lava, which makes the ceiling at level 16, which is still inside the diamond zone.
Even if the ratio is 0.09%, you should expect 5.6 diamonds per pick, you'll still average more than you spend. The break even point is ~0.048%