| Author |
Message |
![[Post New]](/templates/default/images/icon_minipost_new.gif) 18 Mar 2008 21:31:51 IST
|
|
|
Bag I contains 3 red and 4 black balls and bag II has 4 red and 5 black balls. one ball is transferred frm bag I to II and then a ball is drawn frm bag II. the ball so drawn is red in clour. find the probablity dat transferred ball is black. Now suppose E1=event of ball transferred frm bag I is red E2= event of ball transferred frm bag I is black A- event of drawing red ball then wat is P(A/E1).....is it 1/2?? plz explain!!
|
Remember Cedric. Remember, if the time should come when you have to make a choice between what is right and what is easy, remember what happened to a boy who was good, and kind, and brave, because he strayed across the path of Lord Voldemort. Remember Cedric Diggory.
Albus Dumbledore
Goblet of Fire, Chapter 37, Page 724
|
|
|
|
18 Mar 2008 21:36:28 IST
|
|
|
2 cases:
case 1: red ball is transfered from bag I to II
this happens with prob of
3/7
now bag II has 5 red and 5 black balls
probablity of picking red=5/10=1/2
so total probability for this to occur=3/7*5/10=15/70
Case 2: black ball is transfered
this happens with chance of 4/7
now bag 2 has 4 red, 6 black
so prob to pick red= 4/10
total probablity= 4/7*4/10=16/70
by bayes rule,
P=probalbility that black was transfered/total probability
=16/70/(16/70+15/70)
=16/31
|
" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates |
this reply: 5 points
(with 1 
in 1 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
18 Mar 2008 21:39:57 IST
|
|
|
Re:ncert qn
|
all the best ... |
this reply: 2 points
(with 0
in 1 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
18 Mar 2008 21:40:04 IST
|
|
|
P(A/E1) implies the probablity of E1 occuring given event A has already occured
|
" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates |
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
18 Mar 2008 21:40:55 IST
|
|
|
its 16/31
|
Remember Cedric. Remember, if the time should come when you have to make a choice between what is right and what is easy, remember what happened to a boy who was good, and kind, and brave, because he strayed across the path of Lord Voldemort. Remember Cedric Diggory.
Albus Dumbledore
Goblet of Fire, Chapter 37, Page 724
|
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
18 Mar 2008 21:41:29 IST
|
|
|
thanx ...i wasnt sure abt P(A/E1)
|
Remember Cedric. Remember, if the time should come when you have to make a choice between what is right and what is easy, remember what happened to a boy who was good, and kind, and brave, because he strayed across the path of Lord Voldemort. Remember Cedric Diggory.
Albus Dumbledore
Goblet of Fire, Chapter 37, Page 724
|
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
18 Mar 2008 21:41:52 IST
|
|
|
the question asks prob that black was transfered....that is P(A/E2)
|
" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates |
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
18 Mar 2008 21:48:54 IST
|
|
|
AKHIL U R WRONG
p(A/E1) implies probability of A given that E1 has already occured
|
all the best ... |
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
18 Mar 2008 22:00:28 IST
|
|
|
E1 = red ball transffered frm bag1 to bag 2
E2 = black ball transffered frm bag1 to bag2
E1 n E2 r mutually exhaustive n exclusive
P (E1) = 3/(3+4)
P(E2) = 4/(3+4)
E = red ball is drawn frm bag2
P(E/E1) = 4+1/(4+1)+5 = 5/10
P(E/E2) = 4/4+(5+1) = 4/10
required propability = (usin bayers theorem) = 16/31
|
      
"your future depends on what u do in present"
|
this reply: 5 points
(with 1
in 1 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
18 Mar 2008 22:02:20 IST
|
|
|
thanx all!!
|
Remember Cedric. Remember, if the time should come when you have to make a choice between what is right and what is easy, remember what happened to a boy who was good, and kind, and brave, because he strayed across the path of Lord Voldemort. Remember Cedric Diggory.
Albus Dumbledore
Goblet of Fire, Chapter 37, Page 724
|
this reply: 0 points
(with 0
in 0 votes ) [?]
|
|
You have to be logged on to rate
|
|
|
|
|
Moderation Team
![[Up]](/templates/default/images/icon_up.gif "[Up]"){kind=icon}
1
