a-university-study-reports-5555-of-students-who-complete-a-tutoring-program-pass

Question

A university study reports the following: 55%55\% of students who complete a tutoring program pass the final exam, 35%35\% of students who complete the tutoring program and attend all review sessions pass the final exam, and 10%10\% of students who complete the tutoring program, attend all review sessions, and submit all assignments pass the final exam. Which expression correctly represents the statement '35%35\% of students who complete the tutoring program and attend all review sessions pass the final exam' as a conditional probability?

Accepted Answer

P(Pass∣Tutored∩Reviewed)=0.35P(	ext{Pass}\mid	ext{Tutored}\cap	ext{Reviewed})=0.35

Answer

P(Reviewed∣Tutored∩ Pass)=0.35P(	ext{Reviewed}\mid	ext{Tutored}\cap	ext{  Pass})=0.35

Answer

P(Tutored∩Reviewed | Pass)=0.35P(	ext{Tutored}\cap	ext{Reviewed | Pass})=0.35

Answer

P(Pass∩Tutored∩Reviewed)=0.35P(	ext{Pass}\cap	ext{Tutored}\cap	ext{Reviewed})=0.35