R
Rishtaara
Mathematics · Class 11

Probability

Learn Probability with notes, examples, and practice questions.

2 sections15–25 min read6 MCQs · 2 examples

Chapter Overview

Class 11 probability: sample space, events, axiomatic approach, conditional probability intro, multiplication theorem, and independent events.

Basics

Classical

P(E) = favourable/total (equally likely)

Complement

P(E′) = 1 − P(E)

Addition

P(A∪B) = P(A)+P(B)−P(A∩B)

Conditional

P(A|B) = P(A∩B)/P(B)

Solved Examples

Step-by-step solutions — read each step before checking the final answer.

Dice

P(getting even on die).

  1. 13 outcomes/6

Answer

1/2

Cards

P(king from deck).

  1. 14/52=1/13

Answer

1/13

Key Points to Remember

  • 0 ≤ P(E) ≤ 1
  • Sure event P=1; impossible P=0
  • Independent: P(A∩B)=P(A)P(B)

Exam Tips

  • Define sample space first
  • Use complement for 'at least one'

Practice MCQs — Probability

Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.

Question 1 of 6Score: 0/0

P(sure event)=