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
CBSE Class 12 Sample Paper for 2021 Boards
Last updated at Dec. 16, 2024 by Teachoo
Transcript
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