logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Probability
0 votes

An experiment can result in only 3 mutually exclusive events A,B and C. If $ P(A) = 2P(B) = 3P(C) $ then $P(A) =$

$\begin {array} {1 1} (A)\;\large\frac{6}{11} & \quad (B)\;\large\frac{5}{11} \\ (C)\;\large\frac{9}{11} & \quad (D)\;None\: of \: these \end {array}$

 

Can you answer this question?
 
 

1 Answer

0 votes
Let $ P(A) = a$
$ P(B) = b$
$ P(C) = c$
then $ a + b + c=1$
Given $ \rightarrow a = 2b = 3c$
$ \Rightarrow C = \large\frac{a}{3}\: \: b = \large\frac{a}{2}$
putting the value of b and c in the equation $ a+b+c=1$
$ \Rightarrow a + \large\frac{a}{2}+ \large\frac{a}{3}=1$
$ \large\frac{6a+3a+2a}{6}=1$
$ 11a=6$
$ a = \large\frac{6}{11}$
Ans : (A)

 

answered Jan 3, 2014 by thanvigandhi_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
...