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simmi singh Grade: 12
        

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.

8 years ago

Answers : (2)

Ramesh V
70 Points
										

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

8 years ago
Sanjeev K Saxena
4 Points
										

but the question reads "k objects r (ARE) distributed in random among k persons", why is this r for in your solution?

7 years ago
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