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

 

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

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Question 28 (Choice 2) Given that E and F are events such that P(E) = 0.8, P(F) = 0.7, P (E āˆ© F) = 0.6. Find P(šø Ģ…|ĀÆš¹) Now, š(š‘¬ Ģ…ā”‚ĀÆš‘­)=(š‘ƒ(šø Ģ… āˆ© š¹ Ģ…))/(š‘ƒ(š¹ Ģ…)) =(š‘ƒ(šø āˆŖ š¹)^š¶ )/(1 āˆ’ š‘ƒ(š¹)) =(šŸ āˆ’ š‘·(š‘¬ āˆŖ š‘­))/(šŸ āˆ’ š‘·(š‘­)) Finding š‘·(š‘¬ āˆŖ š‘­) P(E āˆŖ F) = P(E) + P(F) āˆ’ P(E āˆ© F) Putting values P(E āˆŖ F) = 0.8 + 0.7 āˆ’ 0.6 P(E āˆŖ F) = 0.8 + 0.7 āˆ’ 0.6 P(E āˆŖ F) = 0.9 Now, š‘ƒ(šø Ģ…ā”‚ĀÆš¹) =(1 āˆ’ š‘ƒ(šø āˆŖ š¹))/(1 āˆ’ š‘ƒ(š¹)) =(1 āˆ’ 0.9)/(1 āˆ’ 0.7) =0.1/0.3 =šŸ/šŸ‘

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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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.