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)
CBSE Class 12 Sample Paper for 2021 Boards
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CBSE Class 12 Sample Paper for 2021 Boards
Last updated at April 16, 2024 by Teachoo
Question 28 (Choice 2) Given that E and F are events such that P(E) = 0.8, P(F) = 0.7, P (E ā© F) = 0.6. Find P(šø Ģ |ĀÆš¹) Now, š(š¬ Ģ āĀÆš)=(š(šø Ģ ā© š¹ Ģ ))/(š(š¹ Ģ )) =(š(šø āŖ š¹)^š¶ )/(1 ā š(š¹)) =(š ā š·(š¬ āŖ š))/(š ā š·(š)) Finding š·(š¬ āŖ š) P(E āŖ F) = P(E) + P(F) ā P(E ā© F) Putting values P(E āŖ F) = 0.8 + 0.7 ā 0.6 P(E āŖ F) = 0.8 + 0.7 ā 0.6 P(E āŖ F) = 0.9 Now, š(šø Ģ āĀÆš¹) =(1 ā š(šø āŖ š¹))/(1 ā š(š¹)) =(1 ā 0.9)/(1 ā 0.7) =0.1/0.3 =š/š