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Chosen Works Charity
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I work out my salvation with fear and trembling.
JDubb@joshwhitlatch
If you think you can lose your salvation, you should be very worried
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Chosen Works Charity retweetet
Chosen Works Charity retweetet

@annamlulis Mark 16:15
and then the entire book of Romans.
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So Logan Paul’s Liquid Marketplace allowed him to sell you % ownership of his assets.
If the asset increases in value, he can just buy them back at the original price without your consent as per the terms and conditions.
If the asset decreases in value, he won’t buy back the shares at all.
So investors had a 0% chance of upside as if there was any profit he’s allowed to just capture it all.
Essentially he set up a company to just borrow against his assets at 0% interest with buyers acting as the bank.
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Chosen Works Charity retweetet
Chosen Works Charity retweetet

You are finding out that you cannot live like other people. You don't get away with sin. You don't prosper if you had to do wrong to get it. Other people win by cheating but it never works out for you if you do the same.
You have a special calling, and with it come special responsibilities. You've been set apart. You need to live a set apart life.
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@Motor1com please don’t be the awd version i really needed this
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@TheVixhal It’s so interesting to see the different ways we all grieve.
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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.
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@hlovo_ When God trynna save me but i’m fr delusional ab her
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