Question

There are 7 rarity for blades in a box for a game
Uncommon 50%
Rare 30%
Epic 10%
Myical 2%
Secret 0.25%
Nightmare 0.01%
Apex 0.001%

To buy 1 box is 100 coins how many boxes would I need to open for a apex

Answer 1

To find out how many boxes you would need to open to get an Apex blade, we can use the probability of getting an Apex blade in one box. The chance of getting an Apex blade from one box is 0.001%, or 0.00001 in decimal form.

To determine the expected number of boxes you need to open to get at least one Apex blade, you can use the formula for expected value in probability, which is the inverse of the probability of an event occurring:

\[
\text{Expected boxes} = \frac{1}{\text{Probability of obtaining the item}}
\]

Substituting the probability:

\[
\text{Expected boxes} = \frac{1}{0.00001} = 100,000
\]

Thus, you would need to open **100,000 boxes** on average to obtain one Apex blade.

Since each box costs 100 coins, the total cost would be:

\[
\text{Total cost} = 100,000 \text{ boxes} \times 100 \text{ coins/box} = 10,000,000 \text{ coins}
\]

So, you would need to spend **10,000,000 coins** on average to get an Apex blade.