Lovable App

The probability formulas we apply when modelling uncertainty for clients.

1. Classical Probability

P(A)=\frac{n(A)}{n(S)}

2. Complement Rule

P(A')=1-P(A)

3. Union of Events

P(A\cup B)=P(A)+P(B)-P(A\cap B)

4. Intersection of Independent Events

P(A\cap B)=P(A)\cdot P(B)

5. Conditional Probability

P(A|B)=\frac{P(A\cap B)}{P(B)}

6. Law of Total Probability

P(A)=\sum P(A|B_i)\cdot P(B_i)

7. Multiplication Rule

P(A\cap B)=P(B)\cdot P(A|B)

8. Bayes' Theorem

P(A|B)=\frac{P(B|A)P(A)}{P(B)}

9. Expected Value

E(X)=\sum x_i\cdot P(x_i)

10. Binomial Distribution

P(X=k)=\binom{n}{k}p^k(1-p)^{n-k}

Probability Modelling