Unfortunately the challenge was not accepted by IIT KGP ( I will attach the document herewith )
This is for all upcoming aspirants , as I have discussed this ques with many people ( from faculties , IIM passouts ) and what I have gathered ,will keep it open .
” A orange ball is drawn with replacement ...”
A very standard sentence from the context of Probability
What does it convey ?
- Draw a ball
- see the color
- if its Orange , put the same ball back into the sack.
It does not mean -
A ball is drawn and if it's orange then it is replaced with another orange ball , if it is so , it SHOULD be mentioned whether it is replaced with a ball of same or different color .
The meaning of the sentence is very clear and can be found in many standard books . “ Replaced “ word is not used literally here . It means , you draw , you see , if orange you put back the same ball .
Now , lets come back to the actual GATE question .
“ If a orange ball is drawn , it is replaced with another orange ball ..”
So this statement can either be considered as very poorly framed or it is not supposed to be same as “with replacement “. The reason is very simple , “ another “ word makes the sentence very ambiguous .It means ( from “ with replacement “ problem ) , the same ball along with another orange ball is put back .
Many people have argued on the fact that the question clearly says “ the ball is replaced with another ball “ . Going by the literal meaning it will mean the same as per GATE has given the key but
WHY aren’t we going by literal meaning for “ with replacement “ problem ( as discussed above ) ?
Our claim was not to make option A or option D correct . It is indeed ambiguous , we wanted marks for both the options .
It costed me and as well as to many GATE 2022 aspirants .
Challenge Document ( with all references and links ) :