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20 May 2006, 06:08
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An applicant has to go through 3 successive tests. Probability of her passing the first test is P. Probability of passing successive tests are P or P/2 according to whether she passed the last test or not. She is selected if she passes as least 2 tests. In terms of P, what is the probability of her selection?
A. ((P^2)/2).(1-P)
B. 2P.(1-P^2)
C. 2.(1-P).P^2
D. 2.P^2 - P^3
E. 4.P^2 - P^4
A. ((P^2)/2).(1-P)
B. 2P.(1-P^2)
C. 2.(1-P).P^2
D. 2.P^2 - P^3
E. 4.P^2 - P^4
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20 May 2006, 06:25
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very good question . According to me the answer should be D.
she will pass in following scenario
PPP --->P*P*P
PPF --->P*P*(1-p)
PFP --->p*(1-p)*(p/2)
FPP --->(1-p)*(p/2)*P
adding all of the four you get (2*P^2) - P^3
I'm curious to know the OA .
she will pass in following scenario
PPP --->P*P*P
PPF --->P*P*(1-p)
PFP --->p*(1-p)*(p/2)
FPP --->(1-p)*(p/2)*P
adding all of the four you get (2*P^2) - P^3
I'm curious to know the OA .
