原神抽卡期望
原神抽卡期望
概括
结论：出金期望值为 62.29733203
数据来源：一文说清原神抽卡概率（附每抽对应概率表）
简单处理
我将原图数据转成了 .json，以方便调用。
结构如下：
{
"Table 1": [
{
"抽数": 1,
"该次抽中概率": 0.6,
"总抽中概率": 0.6
},
{
"抽数": 2,
"该次抽中概率": 0.6,
"总抽中概率": 1.1964
}
]
}
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计算
import json
with open("概率表.json", "r", encoding="utf-8") as data_file:
data = json.load(data_file)
def expectation(data, i):
match i:
case 1:
Prob = 0.6
case 2:
Prob = 0.5964
case _:
Prob = (
data["Table 1"][i - 1]["总抽中概率"]
- data["Table 1"][i - 2]["总抽中概率"]
)
Prob = Prob / 100
return Prob
i = len(data["Table 1"])
sum0 = 0
while i > 0:
i -= 1
Extra_num = data["Table 1"][i]["抽数"]
Prob = expectation(data, i + 1)
sum0 += Extra_num * Prob
print("期望为", sum0)
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