Ex 13.1
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
Ex 13.1, 10 (b) Important You are here
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
Last updated at April 16, 2024 by Teachoo
Ex 13.1, 10 A black and a red dice are rolled. (b) Find the conditional probability of obtaining the sum 8, given that the red die resulted in a number less than 4.Our Sample Space is S = We need to find the Probability of obtaining the sum 8, given that the red die resulted in a number less than 4 Let E : Sum of numbers is 8 F : Number on red die is less than 4 We need to find P(E|F) Event E E = {(2, 6), (3, 5), (4, 4), (5, 6), (6, 2)} P(E) = 5/36 Event F F = {(1, 1), (2, 1), (3, 1), ………,(6, 1), (1, 2), (2, 2), ………………, (6, 2), (1, 3), (2, 3), ………………, (6, 3)} P(F) = 18/36 Also, E ∩ F = {(5, 3), (6, 2)} So, P(E ∩ F) = 2/36 Now, P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (2/36)/(18/36) = 2/18 = 𝟏/𝟗 ∴ Required probability is 1/9