Probability of hitting 1 or more times when performed p% loot box n times
Probability of hitting 1 or more = 100% - Probability of not hitting even once
e.g. Probability of hitting 1 or more times when performed 1% loot box 1 times
-> It hits about 1 in 100 people.
e.g. Probability of hitting 1 or more times when performed 1% loot box 100 times
-> It hits about 2 in 3 people.
Probability of hitting m or more times when performed p% loot box n times
If you want to hit more than 2 times, the calculation will be difficult.
- Probability of hitting more than 2 times = 100% - Probability of not hitting even once - Probability of hitting only once
- Probability of hitting more than 3 times = 100% - Probability of not hitting even once - Probability of hitting only once - Probability of hitting only twice
“Probability of hitting only x times” can be calculated by the following formula.
nCx is number of combinations to choose x from n different.
e.g. Probability of hitting 2 or more times when performed 1% loot box 100 times
Probability of not hitting even once:
Probability of hitting only once:
Probability of hitting 2 or more times: