Question

Which of the following is not a true statement about probabilities and​ complements?

Choose the correct answer below.

A.

Upper P left parenthesis Upper E right parenthesis minus Upper P left parenthesis Upper E prime right parenthesis equals 1P(E)−PE′=1

B.

Upper P left parenthesis Upper E right parenthesis plus Upper P left parenthesis Upper E prime right parenthesis equals 1P(E)+PE′=1

C.

Upper P left parenthesis Upper E prime right parenthesis equals 1 minus Upper P left parenthesis Upper E right parenthesisPE′=1−P(E)

D.

Upper P left parenthesis Upper E right parenthesis equals 1 minus Upper P left parenthesis Upper E prime right parenthesisP(E)=1−PE′

Answer 1

the option which is not true is:-

Upper P left parenthesis Upper E right parenthesis minus Upper P left parenthesis Upper E prime right parenthesis equals P(E)−P(E′)=1 (A)

[ interpretation:-

we know that,

P (E) + P(E') =1 ( so, option B is true)

so, P(E) = 1-P(E') (so, option D is true).

and P(E') = 1 - P(E) ( so, option C is true). ]

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