a small wish fountain costs 1000 coins to get a wish out of, a rare is 20% a ultra rare is 10% and legendary is 1% how many times would you have to make a small wish to get a legendary

Question

a small wish fountain costs 1000 coins to get a wish out of,  a rare is 20%  a ultra rare is 10% and legendary is 1% how many times would you have to make a small wish to get a legendary

GPT-4o mini · Answer

To calculate how many times you would need to make a small wish to expect to get a legendary item, you can use the probability of getting a legendary item.

The probability of getting a legendary item from one wish is 1%, or 0.01.

To find the expected number of attempts needed to get a legendary item, you can use the formula:

\[ \text{Expected Attempts} = \frac{1}{\text{Probability of Success}} = \frac{1}{0.01} = 100. \]

Therefore, you would need to make approximately 100 small wishes to expect to receive one legendary item.

It's important to note that this is an average, meaning you may actually get a legendary item in fewer attempts or need more attempts, but on average, you would need around 100 attempts.