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1st q:
if (1+3p)/3,(1-p)/4 and (1-2p)/2 r d probailities of 3 mutually xclusive events show dat 1/3<=p<=1/2.
2nd q:
if k objects r distributed in random among k persons ,find d probability dat at least one of them will nt gt anything.
QI)
probailities of each event lies between [0,1]
so , 1-2p >=0
p=<1/2 ....(1)
also for mutually exclusive events, sum of probabilities is 1
(1+3p)/3 + (1-p)/4 + (1-2p)/2 =<1
(13-3p)/12 =<1
p>=1/3
so , 1/3 =< p =< 1/2
QII )
no of ways of distributing r objects among k persons is : kCr
no of ways of distributing r objects among (k-1) persons leaving a single person is : (k-1)Cr
probability = (k-1)Cr /kCr
= (k-r)/k
--
regards
Ramesh
but the question reads "k objects r (ARE) distributed in random among k persons", why is this r for in your solution?
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