To find out how many boxes you would need to open to expect to find at least one secret rarity tower, you can use the expected value based on the probability.
The probability \( p \) of getting a secret rarity tower from one box is:
\[ p = 0.0025 \quad \text{(since 0.25% is \( \frac{0.25}{100} \))} \]
The expected number of boxes \( n \) you need to open to get at least one secret rarity can be calculated using the formula:
\[ n = \frac{1}{p} \]
Substituting the probability of the secret rarity:
\[ n = \frac{1}{0.0025} = 400 \]
Therefore, on average, you would need to open 400 boxes to expect to find one secret rarity tower. Keep in mind that this is an average; it may take more or fewer boxes in practice due to the randomness of the outcomes.
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