Probability Formulas for Class 11 Maths Chapter 16
Are you looking for Probability formulas for class 11 chapter 16? Today, we are going to share Probability formulas for class 11 chapter 16 according to student requirements. You are not a single student who is searching Probability formulas for class 11 chapter 16. According to me, thousands of students are searching Probability formulas for class 11 chapter 16 per month. If you have any doubt or issue related to Probability formulas then you can easily connect with through social media for discussion. Probability formulas will very helpful to understand the concept and questions of the chapter Probability. I would like to suggest you remember Probability formulas for the whole life. It also helps you with higher studies.
- \(P(A) = \frac{Number\; of\; favorable\; outcome}{Total\; number \;of\; favorable \;outcomes}\)
- Probability Range: 0 ≤ P(A) ≤ 1
- Rule of Complementary Events: P(AC) + P(A) = 1
- Rule of Addition: P(A∪B) = P(A) + P(B) – P(A∩B)
- Disjoint Events: Events A and B are disjoint if: P(A∩B) = 0
- Conditional Probability: P(A | B) = P(A∩B) / P(B)
- Bayes Formula: P(A | B) = P(B | A) ⋅ P(A) / P(B)
- Independent Events: Events A and B are independent if: P(A∩B) = P(A) ⋅ P(B)
- Cumulative Distribution Function: FX(x) = P(X ≤ x)
- Commutative: \( A\cup B = B\cup A \) and \( A\cap B = B\cap A \)
- Associative: \( A\cup (B\cup C) = A\cup (B\cup C) \) and \( A\cap (B\cap C) = A\cap (B\cap C) \)
- Neutral element: \( A\cup \theta = A \) and \( A\cap E = A \)
- Absorbing element: \( A\cup E = E \) and \( A\cap \theta = \theta \)
- Distributive: \( A\cup (B\cap C)=(A\cup B)\cap (A\cup C) \) and \( A\cap (B\cup C)=(A\cap B)\cup (A\cap C) \)
- De Morgan’s law: \( \bar(A\cap B) = \bar A \cup \bar B \) and \( \bar(A\cup B) = \bar A \cap \bar B \)
- Independent Events: \( P(A | B)=P(A) \) and \( P(A\cap B)=P(A)×P(B)\)
- Conditional Probability: \( P(A | B)=\frac{P(A\cap B)}{P(B)} \)
- Laplace laws: \( P(A)=\frac{Number\;of\;ways\;it\;can\;happen}{Total\;Number\;of\;Outcomes} \)
- Complement of an Event: \( P(\bar A)=1 – P(A)\)
- Union of Events: \( P(A\cup B)=P(A)+P(B)−P(A\cap B)\)
- Permutation: \( P_{n}= n! = n\times (n-1)\times . .\times 2\times 1\)
- Permutations without repetition: \( ^nA_{p} = \frac{n!}{(n-p)!}\)
Summary Probability Formulas
We have listed top important formulas for Probability for class 11 chapter 16 which helps support to solve questions related to chapter Probability. I would like to say that after remembering the Probability formulas you can start the questions and answers the solution of the Probability chapter. If you faced any problem to find a solution of Probability questions, please let me know through commenting or mail.
NCERT Class 11 Maths Formulas By chapters
- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 7 Permutations and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 15 Statistics
- Chapter 16 Probability
NCERT Solutions Class 11 Maths by Chapters
- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 6 Linear Inequalities
- Chapter 7 Permutations and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 14 Mathematical Reasoning
- Chapter 15 Statistics
- Chapter 16 Probability