Ex 13.1, 14 - Chapter 13 Class 12 Probability

Last updated at April 16, 2024 by

Ex 13.1, 14 - Find probability 'sum of numbers on dice is 4'

Ex 13.1, 14 - Chapter 13 Class 12 Probability - Part 2
Ex 13.1, 14 - Chapter 13 Class 12 Probability - Part 3

Transcript

Ex 13.1, 14 Given that the two numbers appearing on throwing two dice are different. Find the probability of the event ‘the sum of numbers on the dice is 4’.Two Dice are thrown We need to find the Probability that the sum of numbers on the dice is 4, given that the two numbers are different. E : Sum of numbers is 4 F : Numbers are different We need to find P(E|F) Also, E ∩ F = {(1, 3), (3, 1)} P(E ∩ F) = 2/36 = 1/18 Event E E = {(1, 3), (3, 1), (2, 2)} P(E) = 3/36 = 1/12 Event F P(F) = 30/36=5/6 Now, P(E|F) = (𝑃(𝐸 ∩ 𝐹))/(𝑃(𝐹)) = (2/36)/(30/36) = 2/30 = 𝟏/𝟏𝟓

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.