Probability- tough one!!

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

7 Answers

21
tapanmast Vora ·

Easy hai, dost....

basic definiton of prob use karo!!!

ΣP(Ei) = 1

wer i ranges frm 0 - n

now find K.......

[1]

1
The Scorpion ·

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]

21
tapanmast Vora ·

MAK : wer i ranges frm 0 - n

and as it is put i =0; in the given expression u'll get P(E0) = 0

62
Lokesh Verma ·

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.

1
The Scorpion ·

@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...!

21
tapanmast Vora ·

Point!!

1
Vivek ·

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

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