Statistics And Probability Question 583

Question: If $ P(A\cup B)=0.8 $ and $ P(A\cap B)=0.3, $ then $ P(\bar{A})+P(\bar{B})= $

[EAMCET 2003]

Options:

A) 0.3

B) 0.5

C) 0.7

D) 0.9

Show Answer

Answer:

Correct Answer: D

Solution:

  •                  $ P(A'\,\cap B')\,=1-P(A\cup B)\,=1-0.8=0.2 $                      $ P(A'\cup B')=1-P(A\cap B)=1-0.3=0.7 $                      $ P(A'\cup B')=P(A')\,+\,P(B')-P(A'\cap B') $                                  
    

Þ $ ,0.7,=P(A’)+P(B’)-0.2 $
Þ
$ \therefore $ .