
Probability and Statistics Basic Probability and Statistics Math Forum 
 LinkBack  Thread Tools  Display Modes 
May 1st, 2018, 12:25 AM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 255 Thanks: 1  What value is substituted in place of $P(A \cap B )$?
The odds in favour of events A and B are 1:3 and 1:2 respectively. What is the probability that at least one of the two would occur if A and B are mutually exclusive events? Solution: Given $P(A) = \dfrac{1}{1+2} = \dfrac {1}{3}$ $P(B) = \dfrac{1}{1+3}$ A and B are mutually exclusive $(A \cup B = \theta)$ $P (A \cup B ) = P(A) + P(B)  P(A \cap B )$ = $\dfrac {1}{3} + \dfrac{1}{4} = \dfrac{7}{12}$ What value is substituted in place of $P(A \cap B)$? Last edited by Ganesh Ujwal; May 1st, 2018 at 01:05 AM. 
May 1st, 2018, 01:03 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 1,977 Thanks: 1026 
mutually exclusive means $A \cap B = \emptyset$ and thus $P[A \cap B] = 0$ 
May 1st, 2018, 01:06 AM  #3 
Senior Member Joined: Aug 2014 From: India Posts: 255 Thanks: 1 
I edited my question.

May 1st, 2018, 02:21 AM  #4 
Senior Member Joined: Aug 2014 From: India Posts: 255 Thanks: 1 
Ca you tell me what values should I substitute in P(A) and P(B)?


Tags 
$pa, cap, cup, place, substituted, theta$ 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
How $3sin^3 \theta cos^3\theta$ obtained?  Ganesh Ujwal  Trigonometry  4  April 29th, 2018 05:08 AM 
sin (3 theta) =1  wirewolf  Trigonometry  4  March 1st, 2016 11:23 AM 
$\int\limits_{\gamma} \frac{z}{(z1)(z2)}$, $\gamma(\theta) = re^{i\theta}$  SourPatchKid  Complex Analysis  0  April 21st, 2015 04:15 PM 
theta  mared  Geometry  1  June 15th, 2014 09:49 AM 
if sin(theta)= .1234 find (theta) in [4pi,pi]  mauro125  Algebra  3  February 22nd, 2014 04:57 PM 