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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.