Easy hai, dost....
basic definiton of prob use karo!!!
ΣP(Ei) = 1
wer i ranges frm 0 - n
now find K.......
[1]
A box contains n coins,If P(E_i) = k ( i(i+1)) for 1\leq i\leq n , where P(E_i) denotes the probability of the event that i out of n coins are biased, find k
Easy hai, dost....
basic definiton of prob use karo!!!
ΣP(Ei) = 1
wer i ranges frm 0 - n
now find K.......
[1]
well, what if none of the coins is biased...!!?
i guess, summation doesn't include this case and hence it cannot b equated to 1...!!!
moreover, there's nothing stated in d question dat atleast one coin should be biased or as such...!!!
so............... [12]
MAK : wer i ranges frm 0 - n
and as it is put i =0; in the given expression u'll get P(E0) = 0
hmm.. mak you have a point
i think the question has data missing..
even i assumed that it is zero for no coin being biased.
@tapan...
dont get embarrassed... [1]
there's no condition imposed on 'i'... the condition dat u r pointing out is for d given equation but not for d question over all...
so i too think data is insufficient...!!! lets see, what vivek says...!
this was all that was given in the question,i ranging frm 0 would have simplified it but no it ranges frm 1 to n only