Makise Kurisu🔞

I love Steins;Gate.

[mewgi 👽🛸 @komewgi]

watch out for the racist seals though☹️

[Makise Kurisu🔞 @CommanderKido]

@GATERONOfficial @elena_delal

[Makise Kurisu🔞 @CommanderKido]

@oofxyphxia 🥲 it's ok i gotchu in hsr 😌

[Makise Kurisu🔞 @CommanderKido]

#Happy3YrsWithHSR

[Honkai: Star Rail @honkaistarrail]

Honkai: Star Rail's Three-Year Anniversary Commemorative Event

Today marks the 3rd anniversary of our trailblazing expedition 💫

Follow this account & Quote RT with the hashtag #Happy3YrsWithHSR to enter! 20 lucky players will be selected to win 1,000 Stellar Jades ✨

Share your blessings and memories to boost your chances of winning! 🎉
Ends Today at 23:59 (UTC+8)

#Happy3YrsWithHSR
▼ View Detailed Event Rules:
https://t.co/UHYNmphSrR

#HonkaiStarRail

[Mahjong Soul Official @MahjongSoul_EN]

Mahjong Soul X Sword Art Online Collab - New Features Preview

The collaboration will start soon on 4/22 (UTC-7). Stay tuned!

Follow & repost for a chance to win the prize.

[Mahjong Soul Official @MahjongSoul_EN]

🀄Lucky Seven Online - #MahjongSoul7thAnniv Giveaway

In celebration of this special occasion, we'll be selecting 20 lucky winners on each platform—X, Facebook, and Discord—for a total of 60 winners!🥳

Follow us and repost for a chance to win the prize in the picture! Happy 7th anniversary!

Message Giveaway Event on Discord: https://t.co/22FTu1LbW0

Play Mahjong Soul Now👉https://t.co/sBynoCGHmm

#MahjongSoul #Yostar

[【OSHI NO KO】Global @oshinoko_global]

💫 【OSHI NO KO】Shikishi Campaign 💫

Here is our next shikishi present campaign signed Manaka Iwami, the voice of akane Kurokawa!

▶️ Follow @oshinoko_global
▶️ Repost this #oshinoko_giveaway

[Makise Kurisu🔞 @CommanderKido]

@MaxsunOfficial Happy New Year, Maxsun go go go!

[Maxsun Official @MaxsunOfficial]

(The Chinese New Year Giveaway post was removed due to an error, but the event is still ongoing! We will still select 10 lucky winners from our followers!)

Chinese New Year Giveaway Alert! 🎉🐍
Maxsun & 1stplayer are giving away 10 epic hardware prizes (motherboards, GPUs, AIO coolers, cases & more) to our fans!
How to enter (super easy):

- Follow @MaxsunOfficial
- Like + Repost this post

Bonus: Comment “Happy New Year, Maxsun go go go!” for extra luck ✨
We’ll randomly pick 10 winners from everyone who completes the steps between Feb 17 – Feb 28.
Ends: February 28 2026
Winners announced shortly after!
Wishing you prosperity, power & perfect frames in the Year of the Horse! 🧧💥
#Maxsun #1stplayer #PCGiveaway

[Antidepressant Content @depressionlesss]

Life...

[vivi @mooncatvivi]

i have never been anyone’s first choice in Anything & i fear i never will be. a certain disgust settles over me knowing that out of everyone i have ever met–family & friends & peers alike–no one has ever found me Worthy enough to put first. like tolerable but not Good Enough

[Makise Kurisu🔞 @CommanderKido]

@honkaistarrail General Yao Guang please bless me
I hope my pulls go better than my love life

[Honkai: Star Rail @honkaistarrail]

General Yao Guang, please bless me.

The Xianzhou's Goddess of Good Fortune!
Yao Guang Warp Start
Repost this Xianzhou deity of fortune for good luck!

Follow & share this post, then share your wish in the comments with " General Yao Guang please bless me"
We'll be drawing lucky winners to receive a gift from General Yao Guang! 🎁

End date: 02/19 22:59 (UTC+8)

[Makise Kurisu🔞 @CommanderKido]

@nooksneedlesco Green! @sankisharma

[laur 🍒🌸 @nooksneedlesco]

SWEATSHIRT GIVEAWAY ✨

the first giveaway of 2026 ⭐️ giving away one of these cute mushroom cat sweatshirts!
🐈‍⬛🍄🍂✨

to enter:
🍂follow me
🍂like & repost
🍂reply which colour is your favourite
🍂tag someone for an extra entry

open internationally 🌎
closes 22nd january! ✨

[vixhaℓ @TheVixhal]

I found out my girlfriend cheated on me. Instead of breaking up right away, I made a fake account, sent her the proof anonymously, and told her that if she didn’t send me money, I’d tell her boyfriend everything.

I shared this whole plan with my best friend for advice, but this mf went behind my back and shared everything with my girlfriend.

When confronted, he said
Why does it matter? I thought she deserved to know.

He wasn’t just betraying me. He was behaving like a random variable after you marginalize out all the hidden information.

In probability, to understand what you actually know, you marginalize over hidden variables.

That means you sum over all the possibilities you can’t observe to compute the probability of what you can observe.

Marginal probability is a statistical measure that represents the probability of a single event by aggregating over all possible values of other variables.

Formula
P(A) = Σ P(A, Bi)

Where
P(A) = Marginal probability of event A
P(A, Bi) = Joint probability of A and B
Σ = Summation

Let's take an example and solve step by step

A dating app wants to find the probability of users sending messages, regardless of whether they get a response. The data shows message sent vs response received:

Short forms
- M = Message
- R = Response

Joint Probability Table
- M (Yes), R (Yes) = 0.30
- M (Yes), R (No) = 0.25
- M (No), R (Yes) = 0.10
- M (No), R (No) = 0.35

Step 1 What we want to marginalize
- We want P(M = Yes)

Step 2 Joint probabilities for M = Yes
- P(M = Yes, R = Yes) = 0.30
- P(M = Yes, R = No) = 0.25

Step 3 Apply marginal probability
- P(M = Yes)
- P(M=Yes, R=Yes) + P(M=Yes, R=No)
- 0.30 + 0.25 = 0.55

P(Message = Yes) = 0.55

Final Answer
The marginal probability of a user sending a message is 0.55 or 55%, regardless of whether they receive a response.

Congratulations, you've just learned Marginal Probability.

Bonus: Applications in AI/ML

1. Bayesian Networks:
Computing marginal probabilities by summing out irrelevant variables to make predictions and inferences in graphical models.

2. Latent Variable Models:
In topic modeling (LDA) and hidden Markov models, marginalizing over hidden states to find the probability of observed data.

3. Feature Selection:
Identifying which features independently correlate with target variables by computing marginal distributions, helping reduce dimensionality.

4. Probabilistic Classification:
Naive Bayes classifiers use marginal probabilities of features to classify data, assuming independence between features.