there is a crate with 0.1% chance of giving you one godly and each of these crates cost 500 coins how much coins would it take mathematically to get 1 garanteed godly

To determine the expected number of coins required to get a guaranteed godly item, we need to consider the probability and the cost per crate.

### Step 1: Probability and Expected Number of Crates
- The probability of getting a godly item from one crate is \( p = 0.1\% = 0.001 \).
- The expected number of crates needed to get one godly is the inverse of the probability:
  \[
  \text{Expected number of crates} = \frac{1}{p} = \frac{1}{0.001} = 1000 \text{ crates}
  \]

### Step 2: Total Cost
- Each crate costs 500 coins.
- Therefore, the expected total number of coins needed to get one godly item is:
  \[
  \text{Total cost} = 1000 \times 500 = 500,000 \text{ coins}
  \]

So, mathematically, it would take **500,000 coins** to get one guaranteed godly item on average.

Would you like more details or have any questions?

Here are five related questions:
1. What is the probability of getting at least one godly item after opening 500 crates?
2. How does the cost change if the probability of getting a godly item increases to 0.5%?
3. What is the expected number of godly items after spending 1,000,000 coins?
4. How would you calculate the probability of getting exactly two godly items in 2000 crates?
5. What is the cost difference between getting a godly item with a 0.1% chance and a 1% chance?

**Tip:** Understanding expected values is crucial in probability, as it helps estimate outcomes over many trials.

Learn how to calculate the number of coins required to guarantee a godly item from crates with a 0.1% chance. Understand the expected number of crates and total cost calculations. Suitable for high school students studying probability and expected values.

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