How many cases should I open in order to have 50% change of getting a special item?

[,,sQuirrel,,]

Answer from IA:

Special Items (Gold, e.g., knives):

To find out how many cases you need to open in CSGO to have a 50% chance of obtaining a special item, we'll set up an equation based on the probability of not getting a special item in each case and solving for the number of cases needed to reach a 50% chance of getting at least one special item.

The probability of not getting a special item in one case is about 1 - 0.0026 = 0.9974.

If n is the number of cases you need to open, the probability of not getting a special item in n cases would be 0.9974^n. We want the probability of getting at least one special item, which is 1 - 0.9974^n, to be at least 50%. The equation we need to solve is:
1 - 0.9974^n = 0.50

Rearranging gives us:
0.9974^n = 0.50

We can solve this using logarithms. Let's calculate the value of n.

To have a 50% chance of getting at least one special item, you would need to open approximately 266 cases in CSGO.

EDITED:

And approximately how much would I have to pay for the 266 cases?

Answer from IA:

To estimate how much you would have to pay to open 266 cases in CSGO, we need to consider two costs: the price of the cases themselves and the price of the keys needed to open them. Prices can vary based on market demand, the type of case, and changes in the game's economy. Let's go through a typical scenario:

Cost of Cases: The price of a case varies, but let's assume an average price of $0.50 per case.
Cost of Keys: Keys are typically required to open cases, and they usually cost around $2.50 each from the in-game store.
Given these assumptions, the total cost to open one case would be the sum of the case and key prices. Let's calculate the total cost for 266 cases based on these prices.

To open 266 cases in CSGO, you would approximately have to pay $798.

[Leva]

you don't. You're gonna lose money anyways. My suggestion is to buy clothes and food supplies instead wasting money over a pixel worth nothing.

[Outsider]

Your math is just wrong.

[KingpinX]

in the shape cs is 2 is in. NONE. opening buy nothing at this pt.