A bag contains coin of value M and a number of other coins whose aggregate value is m.A person draws on at a time till he draws the coin M.Find value of his expectation
1guys believe me , this is an NMO standard problem . I think , never asked in JEE. only Nishant and Priyam , prophet and other math geeks can solve. :)
24Yes it is difficult but not impossible........and do u know level of mathematics paper is taking huge leaps year after year......I wont be surprised if in a couple of years Olympiad level mathematics paper comes(We may see a trailer of that in 2009)......So we should be prepared for WORST...........
I hope U r not angry with me........I just wanted to say that on seeing tough problems we shouldnt run away....There is no prophet on earth.....Its just humans.....
11i don't expect myself to solve this problem. So expectation of me finding the person's expectation is 0. [2]
Btw when the math lords solve this question, I request them to post the full solution along with their thought process. Please guys [1]
62I think it should be m/2
This is my gut feeling :)
See the justification si that every coin has equal probability to be picked before and after the coin with denomination M.
So expected value is m/2
62yeah eureka.. it is the same.. (almost)
you are counting the expected value just after the coin was picked..
i am counting just before :)