Given that E and F are events such that P(E) = 0.8, P(F) = 0.7, P (E∩F) = 0.6. Find P (Eฬ„ | Fฬ„)

 

Given that E and F are events such that P(E) = 0.8, P(F) = 0.7, P(E∩F)

Question 28  (Choice 2) - CBSE Class 12 Sample Paper for 2021 Boards - Part 2

  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Transcript

Question 28 (Choice 2) Given that E and F are events such that P(E) = 0.8, P(F) = 0.7, P (E โˆฉ F) = 0.6. Find P(๐ธ ฬ…|ยฏ๐น) Now, ๐(๐‘ฌ ฬ…โ”‚ยฏ๐‘ญ)=(๐‘ƒ(๐ธ ฬ… โˆฉ ๐น ฬ…))/(๐‘ƒ(๐น ฬ…)) =(๐‘ƒ(๐ธ โˆช ๐น)^๐ถ )/(1 โˆ’ ๐‘ƒ(๐น)) =(๐Ÿ โˆ’ ๐‘ท(๐‘ฌ โˆช ๐‘ญ))/(๐Ÿ โˆ’ ๐‘ท(๐‘ญ)) Finding ๐‘ท(๐‘ฌ โˆช ๐‘ญ) P(E โˆช F) = P(E) + P(F) โˆ’ P(E โˆฉ F) Putting values P(E โˆช F) = 0.8 + 0.7 โˆ’ 0.6 P(E โˆช F) = 0.8 + 0.7 โˆ’ 0.6 P(E โˆช F) = 0.9 Now, ๐‘ƒ(๐ธ ฬ…โ”‚ยฏ๐น) =(1 โˆ’ ๐‘ƒ(๐ธ โˆช ๐น))/(1 โˆ’ ๐‘ƒ(๐น)) =(1 โˆ’ 0.9)/(1 โˆ’ 0.7) =0.1/0.3 =๐Ÿ/๐Ÿ‘

Class 12
Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

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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.