logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XII  >>  Math  >>  Probability
0 votes

The probability that at least one of the two events A and B occurs is 0.6.If A and B occur simultaneously with probability 0.3,evaluate $P(\bar{A})+P(\bar{B})$.

Can you answer this question?
 
 

1 Answer

0 votes

">P(\(\

Toolbox:
  • P(at least one of A and B occeure)=P(A\(\cup\)B)                 \(Also\;\overline{A\cup\;B}=\bar{A}\cap\;\bar{B}\)
  • P(simultuneous occurance of AandB)=P(A\(\cap\)B)           \(Also\;\overline{A\cap\;B}=\bar{A}\cup\;\bar{B}\)
P(A\(\cap\)B)=0.6
P(\(\overline{A\cup\;B}\))=1-0.6=0.4
P(\(\bar{A}\)\(\cap\)\(\bar{B}\))=0.4
P(A\(\cap\)B)=0,3
P(\(\overline{A\cap\;B}\))=1-0.3=0.7
P(\(\bar{A}\cup\)\(\bar{B}\))=P(\(\bar{A}\))+P(\(\bar{B}\))-P(\(\bar{A}\)\(\cap\)\(\bar{B}\))
0.7=P(\(\bar{A}\))+P(\(\bar{B}\))-0.4
P(\(\bar{A}\))+P(\(\bar{B}\))=1.2

 

answered Feb 25, 2013 by poojasapani_1
edited Mar 16, 2013 by poojasapani_1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...