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Journey to the West 2: Calculate the true chance of gem upgrades by consuming point cards reforged by gems

author:Flower talk game

As a classic online game that has been successfully operated for twenty years, the development team has set various chances for players to challenge, either by luck or kryptonite. But if we know the true rule probabilities, will it make kryptonite more targeted? Today, we use the point card consumption of gem reforging to reverse the true chance of gem upgrade.

Journey to the West 2: Calculate the true chance of gem upgrades by consuming point cards reforged by gems

First, let's take a look at the reforging of the Level 7 gem type, which requires 286 card points. Level 3 gems need to be consumed according to the rules. A level 3 gem requires 4 level 1 gems, and malachite has a total of 13 attributes, so we can get a calculation formula, 286/13/4 = 5.5, in other words, each level 1 gem is equivalent to 5.5 points.

Journey to the West 2: Calculate the true chance of gem upgrades by consuming point cards reforged by gems

Next, let's look at the reforging of level 8 gemstones, which requires 572 points, which is doubled compared to level 7, because the raw material level 4 gems have a 100% chance of successful synthesis, so it is understandable that the reforging cost is simply doubled.

Journey to the West 2: Calculate the true chance of gem upgrades by consuming point cards reforged by gems

The most critical level 9 gem reforging can get a glimpse of the design idea of the probability of the development group, first of all, the reforging requires 1848 points, compared to washing the 8 grade gemstones is not a doubling relationship, but 1848/572 = 3.230769231, because the raw material is a grade 5 gemstone, 4 on 5 is not 100% probability, then we can simply calculate the probability of 4 on 5.

Journey to the West 2: Calculate the true chance of gem upgrades by consuming point cards reforged by gems

First of all, let's assume that the level 5 stone is also 100% successfully synthesized, then with reference to the reforging law of the previous gemstones, the reforging cost of the level 9 gem should be 13 * 8 * 2 * 5.5 = 1144 points. But the reality is that it costs 1848-1144=704 points.

Journey to the West 2: Calculate the true chance of gem upgrades by consuming point cards reforged by gems

How many Tier 4 gems are equivalent to these points spent? 704/5.5/8 = 16. That is to say, the system defaults to 13 level 5 gems and breaks 16 level 4 gems, which means that a total of 13 *2 + 16 = 42 level 4 gems are equivalent to 13 level 5 gems, and one level 5 gem is equivalent to 42/13 = 3.23 level 4 gems.

Journey to the West 2: Calculate the true chance of gem upgrades by consuming point cards reforged by gems

I believe that ordinary players can combine level 5 stones every week, and they can probably meet level 5 with 8 grams a month! About 7 level 4 gems can be combined into 2 level 5 gems! Intuition alone can match the above algorithm. By the same token, you can extrapolate the probability of a higher level of gem synthesis.

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