This market will resolve based on @FairlyRandom selecting two integers between 1 and 10 (inclusive) on December 1, 2024. Numbers are coprime if their greatest common divisor (GCD) is 1.
Resolution criteria:
Two numbers between 1 and 10 (inclusive) will be generated using @FairlyRandom.
The GCD of these numbers will be calculated.
The market resolves YES if GCD=1, NO if GCD>1.
@traders The multiple-choice version is here and open for a week: https://manifold.markets/4fa/-gcd-gamble-what-will-be-the-gcd-of
@ChristopherRandles Good points! I will use the two numbers as generated.
"Presumably both 1 resolves yes while both more than 1 resolves no?" Exactly!
@atmidnight Did you perhaps mix up YES and NO, or did I maybe make a mistake in the description myself? 🤔
Simulation reports about 63% probability of this happening.
```
import random as r
from math import gcd
N=10000
count=0
for _ in range(N):
a = r.randint(1,10)
b = r.randint(1,10)
if gcd(a,b) == 1:
count += 1
print(count, count/N)
```