Logic!
Joe is convinced that coins land on tails at least 60% of the time.
He tells this to all of his friends, but they are skeptical.
To prove himself, he flips a coin 5 times and records his result. However, less than 60% of the 5 flips land on tails.
In order to make sure that his friends don’t make fun of him, Joe pretends that he had planned on flipping the coin more than 5 times from the start, and flips the coins another 5 times, for a total of 10 flips.
If the true chance of a coin landing on heads is 1/2, what is the chance that Joe will manage to ‘prove’ his theory (get a probability of 60% or higher)?
(Sorry, no fun problem this time)
The Last one (Answer to this is now at the bottom of my profile):
Pick three points on a circle. What is the probability of the 3 all lying on a common semicircle?
Example
Future/Current Forum Game(s)
Playing:
[Puzzle/Competition] Point Zenith: Legendary Secrets
[Always Open][LABYRINTHIUM] Season 2
NOT ANOTHER [REDACTED]ING LLAMA MAFIA LIES
[missing title]
(End routinely updated section)
Random Stuff for your Amusement
Graphing like a pro
My 50 favorite games
Quotes:
I AM FOOD. DESTROYER OF HUNGER.
“Sir, we’ve been surrounded!”
“Excellent, we can attack in any direction!”
That moment when you fail so much you reflexively push “r” and then suddenly you don’t fail and you’re like yussssshit.
Achieving results doesn’t make you a superhero.
Randomfact(z):
My first comment has well over 3000 likes.
Started making this profile page actually say stuff in 2014 – 3 years after I became a member. Also the time I started talking on forums and really getting into kong and realizing that, wow, there’s like a actual community and stuff, not just 60,000 people playing games. individually at any given time.
This profile page is like 2 links away from crashing completely and breaking all formatting. :/
Goals:
More fans
1 real friend :C
Achievements:
18000 points. Like halfway to level 65 :P
Has a crown on Mozzarella, the coolest kongpanion
1k forum posts: Oct 12, 2014 6:55pm (1277Days)
2k forum posts: Jan 4, 2015 6:51pm ( + 2016 Hours)
5k forum posts: Jun 9, 2015 7:00pm ( + 3744 Hours)
Forum Games I have hosted
The Fading Horizon
RESTART
Collapse
Disrupted Rhythm
Limitation II
Don’t Break the Limits
Conquest Complex
˙
˙
˙
.
.
.
.
.
˙
˙
˙
˙
.
.
.
.
.
.
.
!
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
3/4
The first point can be assumed to always be in the same place (if it’s not, just rotate the circle).
If the second point is atop the first point, probability can be seen to be 100%. If it is across from the first point, the probability approaches 50% (directly across is actually 100%, but slightly to the left or right will be 50%. However, we can assume it is 50% because the chance it will be directly across is infinitesimal.) We can see that the probability changes linearly, so it is the average of .5 and 1 – 3/4.