Last updated at Aug. 24, 2021 by Teachoo

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Ex 13.1, 10 A black and a red dice are rolled. (a) Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.A black and a red dice are rolled Let us take first numbers to have been appeared on the black die and the second numbers on the red die, in order. S = {(1, 1), ……….., (1, 6), (2, 1), ………, (2, 6), (3, 1), ………., (3, 6), (4, 1), ……...., (4, 6), (5, 1), …….., (5, 6), (6, 1), …..…., (6, 6)} We need to find the probability of obtaining a sum greater than 9, given that the black die resulted in 5 Let F : 5 appeared on the black die E: Sum of numbers greater than 9 We need to find P(E|F) Also, E ∩ F = {(5, 5), (5, 6)} So, P(E ∩ F) = 2/36 = 1/18 E = {(4, 6), (5, 5), (6, 4), (5, 6), (6, 5) , (6, 6)} P(E) = 6/36 F = {(5, 1), (5, 2), (5, 3), (5, 4), (5,5), (5,6)} P(F) = 6/36 Now, P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (2/36)/(6/36) = 2/6 = 𝟏/𝟑 ∴ Required probability is 1/3 ∴ Required probability is 1/9

Ex 13.1

Ex 13.1, 1

Ex 13.1, 2

Ex 13.1, 3 Important

Ex 13.1, 4

Ex 13.1, 5

Ex 13.1, 6 (i)

Ex 13.1, 6 (ii) Important

Ex 13.1, 6 (iii)

Ex 13.1, 7 (i)

Ex 13.1, 7 (ii)

Ex 13.1, 8

Ex 13.1, 9

Ex 13.1, 10 (a) Important You are here

Ex 13.1, 10 (b) Important

Ex 13.1, 11

Ex 13.1, 12 Important

Ex 13.1, 13 Important

Ex 13.1, 14

Ex 13.1, 15

Ex 13.1, 16 (MCQ) Important

Ex 13.1, 17 (MCQ) Important

Chapter 13 Class 12 Probability (Term 2)

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 10 years. He provides courses for Maths and Science at Teachoo.