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Let E be an event which is neither a certainty nor an impos- sibility. If probability is such that P(E)=1+λ+λ2 and PE′=(1+λ)2 in terms of an unknown λ. Then P(E) is =

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a

1

b

34

c

14

d

None of these

answer is B.

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Detailed Solution

P(E)+PE′=1=1+λ+λ2+(1+λ)2or 2λ2+3λ+1=0or (2λ+1)(λ+1)=0or λ=−1,−12Then, P(E)=1+(−1)+(−1)2=1 (not possible) =1+−12+−122=12+14=34

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Let E be an event which is neither a certainty nor an impos- sibility. If probability is such that P(E)=1+λ+λ2 and PE′=(1+λ)2 in terms of an unknown λ. Then P(E) is =