There are 130321 equally likely possibilities for abcd (19^4 combinations w/ replacement).
41246 combinations have imaginary roots. p = 41246/130321 ~= 0.31650

320 combinations have 1 real root. p = 320/130321 ~= 0.0024555

88755 combinations have 2 real roots. p = 88755/130321 ~= 0.68105

@ikirpichev Roll time

@ikirpichev Are you using FairlyRandom to generate the numbers?

@evan yes

what is the point of a market like this where there is an obvious "right answer" to the probabilities? pretty much anyone who trades will just calculate the right answer.

@CrypticQccZ Not everyone lol

Hmmm:

```

>>> results = [random.randint(1,19) ** 2 - 4 * random.randint(1,19) * random.randint(1,19) for in range(1_000_000)]

>>> sum(1 for x in results if x < 0)

768280

>>> sum(1 for x in results if x == 0)

3666

>>> sum(1 for x in results if x > 0)

228054

```

If this is right, odds should be close to 76.8% imaginary, 0.4% 1 real, and 22.8% 2 real. I'm attempting to calculate the portion under the square root in the quadratic formula, which is the only piece that determines this. I'm open to being told I made some mistake here, but betting up the odds on my analysis anyways.

@MarcusM What about the fourth random variable, d?

@4fa Reading comprehension fail:

```
>>> results = [random.randint(1,19) ** 2 - 4 * random.randint(1,19) * (random.randint(1,19)-random.randint(1,19)) for in range(1_000_000)]

>>> sum(1 for x in results if x < 0)

316873

>>> sum(1 for x in results if x == 0)

2364

>>> sum(1 for x in results if x > 0)

680763
```
🤦‍♂️