@traders The multiple-choice version is here and open for a week: https://manifold.markets/4fa/-gcd-gamble-what-will-be-the-gcd-of

@4fa cool thx

@traders The random numbers are 10 and 7, so the market resolves to YES. Tomorrow, I will open a multiple-choice version of this market for added fun.

@4fa your random number is: 7

Salt: 900hknpupqk, round: 4587801 (signature 89cc12408c645af7658afb873b9a03088eb0c1232197e0c0745571f7970d47f820af8cb050f89553aa683408b364845308c3d870e35b9dcc95f46d466e4dfcfd92f85f81ed2f074c49dee39e21c3e67772055de60cc7d9dc3c1fe2bf4ba874b4)

@4fa you asked for a random integer between 1 and 10, inclusive. Coming up shortly!

Source: GitHub, previous round: 4587799 (latest), offset: 2, selected round: 4587801, salt: 900hknpupqk.

@FairlyRandom 10

@4fa your random number is: 10

Salt: y430vg51jh, round: 4587796 (signature 8fba55d8b3642a043eb66b48ae4d6b4359e521b23bbe1157b44f7600730a3a69ac768cd1d88275788207aebe5cf253120bd1ed1c8c876567355c448117f3cafcf210105f66196d8d19b98163e798385342bfa564641773ab5d91893af84d2ec4)

@4fa you asked for a random integer between 1 and 10, inclusive. Coming up shortly!

Source: GitHub, previous round: 4587794 (latest), offset: 2, selected round: 4587796, salt: y430vg51jh.

@FairlyRandom 10

If two numbers are the same, do you generate another until not the same?
Or use the 2 numbers that are the same? Presumably both 1 resolves yes while both more than 1 resolves no?

@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? 🤔

@4fa I'm a contrarian

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)

```