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

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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 ∩ F) = 0.6. Find P(𝐸 Μ…|¯𝐹) Now, 𝐏(𝑬 ̅│¯𝑭)=(𝑃(𝐸 Μ… ∩ 𝐹 Μ…))/(𝑃(𝐹 Μ…)) =(𝑃(𝐸 βˆͺ 𝐹)^𝐢 )/(1 βˆ’ 𝑃(𝐹)) =(𝟏 βˆ’ 𝑷(𝑬 βˆͺ 𝑭))/(𝟏 βˆ’ 𝑷(𝑭)) Finding 𝑷(𝑬 βˆͺ 𝑭) P(E βˆͺ F) = P(E) + P(F) βˆ’ P(E ∩ F) Putting values P(E βˆͺ F) = 0.8 + 0.7 βˆ’ 0.6 P(E βˆͺ F) = 0.8 + 0.7 βˆ’ 0.6 P(E βˆͺ F) = 0.9 Now, 𝑃(𝐸 ̅│¯𝐹) =(1 βˆ’ 𝑃(𝐸 βˆͺ 𝐹))/(1 βˆ’ 𝑃(𝐹)) =(1 βˆ’ 0.9)/(1 βˆ’ 0.7) =0.1/0.3 =𝟏/πŸ‘

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