[Fluff] check description

Let's break this down:

Given:

  • Chance of getting an Uber-Rare: 9% (0.09)
  • Chance of getting a Super-Rare: 26% (0.26)
  • Chance of getting a Rare: 64.7% (0.647)
  • Chance of getting a Legend-Rare: 0.3% (0.003)
  • There are 109 Uber-Rares in total.
  • You want to get 1 specific Uber-Rare.

We need to compare the chance of getting your specific Uber-Rare to the chance of getting a Legend-Rare.

1. Calculating the chance of getting your specific Uber-Rare:

  • Since there are 109 different Uber-Rares, and the chance of getting an Uber-Rare is 9%, the chance of getting your specific Uber-Rare is:

[ \text{Chance of specific Uber-Rare} = \frac{1}{109} \times 0.09 = \frac{0.09}{109} \approx 0.000826 ]

This means you have a 0.0826% chance of getting your specific Uber-Rare.

2. Calculating the chance of getting a Legend-Rare:

  • The chance of getting a Legend-Rare is directly given as 0.3%, or 0.003.

3. Comparing the chances:

  • The chance of getting your specific Uber-Rare is approximately 0.000826, and the chance of getting a Legend-Rare is 0.003.

To compare these two chances:

[ \text{Ratio of chances} = \frac{\text{Chance of specific Uber-Rare}}{\text{Chance of Legend-Rare}} = \frac{0.000826}{0.003} \approx 0.2753 ]

Conclusion:

The chance of getting your specific Uber-Rare is about 27.5% of the chance of getting a Legend-Rare. In other words, getting your specific Uber-Rare is roughly 27.5% as likely as getting a Legend-Rare.