Question

Which is NOT true for any event A

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A. P(A)+P(A)=1
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B. P(A)=1-P(A)
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C. P(A)=1-P(A)
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D. P(A)+1=P(A)

Answer 1

D.

Explanation:

The answer is D. P(A)+1=P(A)

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Answer 2

D

Explanation:

For any event A is always true

`P(A)+P(\overline {A})=1`

So, option A is true. From this equality,

`P(A)=1-P(\overline{A})\\ \\P(\overline{A})=1-P(A)`

So, options B and C are true too.

Option D is not always true. The equality

`P(A)+1=P(\overline{A})`

is true only for event A, for which
`P(A)=0`

The equality

`P(\overline{A})+1=P(A)`

is true only for event A, for which
`P(\overline{A})=0`

So, this option is not true for all events A.