CBSE · Class 6-12

Class 12 · Mathematics (041)

Unit 13 · Class 12Mathematics (041)

Probability

Probability

Conditional probability, multiplication rule, Bayes' theorem, random variables and their distributions.

Lessons

4 concepts

1
Conditional Probability
$P(A|B) = \dfrac{P(A \cap B)}{P(B)}$ , provided $P(B) > 0$ .
2
Multiplication Rule & Independence
$P(A \cap B) = P(A) P(B|A)$ ; independent iff $P(A \cap B) = P(A) P(B)$ .
3
Bayes' Theorem
$P(E_i | A) = \dfrac{P(A | E_i) P(E_i)}{\sum_j P(A | E_j) P(E_j)}$ .
4
Random Variables
Discrete random variable + probability distribution; mean $E(X) = \sum x_i p_i$ ; variance $\sigma^2 = E(X^2) - E(X)^2$ .

Skills to practise

Skill · medium

Probability — Practice (coming soon)

Practice bank for this unit is in progress. You can still read the lessons above.