Statistics And Probability Question 564

Question: Let A and B be events for which $ P(A)=x $ , $ P(B)=y, $ $ P(A\cap B)=z, $ then $ P(\bar{A}\cap B) $ equals

[AMU 1999]

Options:

A) $ (1-x)y $

B) $ 1-x+y $

C) y - z

D) $ 1-x+y-z $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ P(\bar{A}\cap B)=P(B)-P(A\cap B)=y-z. $