# Ex 13.2, 11

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 13.2, 11 Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find (i) P(A and B) Two events A & B are independent if P(A ∩ B) = P(A) . P(B) Given, P(A) = 0.3 & P(B) = 0.6 P(A and B) = P(A ∩ B) = P(A) . P(B) = 0.3 × 0.6 = 0.18 ∴ P(A and B) = 0.18 Ex 13.2, 11 Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find (ii) P(A and not B) P(A and not B) = P(A ∩ B’) = P(A) – P(A and B) = P(A) – P(A ∩ B) = 0.30 – 0.18 = 0.12 ∴ P(A and not B) = 0.12 Ex 13.2, 11 Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find (iii) P(A or B) P(A or B) = P(A ∪ B) = P(A) + P(B) – P(A ∩ B) = 0.30 + 0.60 – 0.18 = 0.90 – 0.18 = 0.72 ∴ P(A or B) = 0.72 Ex 13.2, 11 Given two independent events A and B such that P(A) = 0.3, P(B) = 0.6. Find (iv) P(neither A nor B) P(neither A nor B) = P(A’ and B’) = P(A’ ∩ B’) = P(A ∪ B)’ = 1 – P(A ∪ B) = 1 – 0.72 = 0.28 ∴ P(neither A nor B) = 0.28

Chapter 13 Class 12 Probability

Example 7
Important

Example 6 Important

Ex 13.1, 10 Important

Ex 13.1, 12 Important

Example 11 Important

Ex 13.2, 7 Important

Ex 13.2, 11 Important You are here

Ex 13.2, 14 Important

Example 17 Important

Example 18 Important

Example 20 Important

Example 21 Important

Ex 13.3, 2 Important

Ex 13.3, 4 Important

Ex 13.3, 8 Important

Ex 13.3, 10 Important

Ex 13.3, 12 Important

Ex 13.3, 13 Important

Example 25 Important

Example 26 Important

Example 27 Important

Example 28 Important

Example 29 Important

Ex 13.4, 3 Important

Ex 13.4, 6 Important

Ex 13.4, 11 Important

Ex 13.4, 15 Important

Example 31 Important

Example 32 Important

Ex 13.5, 4 Important

Ex 13.5, 6 Important

Ex 13.5, 10 Important

Ex 13.5, 13 Important

Example 35 Important

Example 36 Important

Misc 6 Important

Misc 9 Important

Misc 11 Important

Misc 13 Important

Misc 16 Important

Class 12

Important Question for exams Class 12

- Chapter 1 Class 12 Relation and Functions
- Chapter 2 Class 12 Inverse Trigonometric Functions
- Chapter 3 Class 12 Matrices
- Chapter 4 Class 12 Determinants
- Chapter 5 Class 12 Continuity and Differentiability
- Chapter 6 Class 12 Application of Derivatives
- Chapter 7 Class 12 Integrals
- Chapter 8 Class 12 Application of Integrals
- Chapter 9 Class 12 Differential Equations
- Chapter 10 Class 12 Vector Algebra
- Chapter 11 Class 12 Three Dimensional Geometry
- Chapter 12 Class 12 Linear Programming
- Chapter 13 Class 12 Probability

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.