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

Let E and F be events with $P (E) = \frac{3}{5} , P (F)= \frac{3}{10} $ and $P (E \cap F) = \frac{1}{5} $ . Are E and F independent?

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • To check if 2 events E and F are independent, check if \(\;P(E).P(F)=P(E\cap\;F)\)
Given \(\;P(E)=\large \frac{3}{5}\), \(\;P(F)=\large \frac{3}{10}\) and \(\;P(E\cap\;F)=\large \frac{1}{5}\)
 
\(\Rightarrow \;P(E).P(F)=\large \frac{3}{5}\times\frac{3}{10}\)\(=\large \frac{9}{50} \)\(\neq\;P(E\cap\;F)\)
Therefore, E and F are NOT independent

 

answered Jun 19, 2013 by balaji.thirumalai
 

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
...