# Example 11 - Chapter 13 Class 12 Probability

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Example 11 An unbiased die is thrown twice. Let the event A be ‘odd number on the first throw’ and B the event ‘odd number on the second throw’. Check the independence of the events A and B. Two events A & B are independent if P(A ∩ B) = P(A) . P(B) An unbiased die is thrown twice S = Let us define two events as A : odd number on the first throw B : odd number on the second throw A ∩ B = odd number on the first & second throw = { (1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 1), (5, 3), (5, 5)} So, P(A ∩ B) = 936 = 14 Now, P(A) . P(B) = 12 × 12 = 14 Since P(A ∩ B) = P(A) . P(B), Therefore, A and B are independent events

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6 Important

Example 7 Important

Example 8

Example 9

Example 10

Example 11 Important You are here

Example 12

Example 13

Example 14

Example 15

Example 16

Example 17 Important

Example 18 Important

Example 19

Example 20 Important

Example 21 Important

Example 22

Example 23

Example 24

Example 25 Important

Example 26 Important

Example 27 Important

Example 28 Important

Example 29 Important

Example 30

Example 31 Important

Example 32 Important

Example 33

Example 34

Example 35 Important

Example 36 Important

Example 37

Chapter 13 Class 12 Probability

Serial order wise

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.