是合成这张牌,还是再开一包
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这里没有任何东西绑定在某一款游戏上:只要那款游戏既能买随机的一包,又能用固定价钱换到指定的东西,算法就是同一套。
结果
| 为合成一张,要分解掉几张同级的牌 | — |
| 多少包的收益够付合成 | — |
| 靠运气开到它平均要几包 | — |
| 开到多少包时,一半的人已经有了 | — |
| 要有十之八九的把握拿到它,得开多少包 | — |
| 开包从多大概率起开始占优,以百分数计 | — |
每包的概率会改变什么
| 每包的概率,以百分数计 | 平均包数 | 一半人所需的包数 | 要十之八九把握的包数 | 够付合成的包数 |
|---|
两者之间的分界线是精确的,不是口味问题,而且值得记住:只有当每包的概率大于“一包的收益 ÷ 那样东西的花费”时,开包才占优。争论里的其他一切,都是围着这一个比较打转的噪音。
三列包数,是同一件事的三种说法;而真正绊住人的,是它们之间的差距。平均不是通常会发生的事,中间那一列才是;而最后一列,才是你真需要这张牌时该按它准备的数。每包百分之一时,平均是一百包,一半的人在六十九包时就结束了,而要十之八九的把握则要二百二十九包。
这个差距,就是支持付固定价钱的全部理由——因为它买走的是尾部,而不是平均。这个页面称不出来的,是一包里其余的东西:即便你想要的牌不在里面,它们也是实实在在的价值。所以请把这个比较读作关于这一张牌,而不是关于开包到底值不值得。
有没有判断什么时候该去补充包里搏一搏的规则?
Yes, and it is exact: chasing wins only when the chance per pack is bigger than what one pack brings in divided by what the card costs to make.
At sixteen hundred to make and a hundred a pack, that line sits at six and a quarter in a hundred. Below it, making the card is cheaper; above it, opening packs is.
平均情况和倒霉情况相差多远?
Much further than people expect, because the average of a chase is not what usually happens to anyone. At one in a hundred per pack the average is a hundred packs, half of people are done by sixty-nine, and being nine in ten sure takes two hundred and twenty-nine.
That is the real argument for paying a fixed price: it buys away the tail, not the average.
| 每包的概率,以百分数计 | 平均包数 | 一半人所需的包数 | 要十之八九把握的包数 |
|---|---|---|---|
| 1 | 100,00 | 68,97 | 229,11 |
| 2 | 50,00 | 34,31 | 113,97 |
| 5 | 20,00 | 13,51 | 44,89 |
| 10 | 10,00 | 6,58 | 21,85 |
为什么分解卡牌来做出一张会亏这么多?
Because what a card gives back when destroyed is a fraction of what the same card costs to make, so the exchange is lossy by design. At four hundred back against sixteen hundred to make, one card costs four of its equals.
The page shows that ratio on the first line rather than burying it, because it is the number that decides whether a collection can ever be converted into the cards you actually want.
这是不是说补充包不值得买?
No, and it cannot. A pack is full of other things that are worth something even when the card you wanted is not in it, and none of that is on this page.
Read the comparison as being about one specific card you have decided you need, which is the situation the question is usually asked in.
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