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

Remove Ads
Teachoo Ā· Class 12 Explore Class 12

Transcript

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.