Mathematics: Which is not true for any event a _ a. p(a)+p(a)=1 _ b. p(a)=1-p(a) _ c. p(a)=1-p(a) _ d. p(a)+1=p(a)

Which is not true for any event a _ a. p(a)+p(a)=1

Serenitybella

09.01.2022

Step-by-step 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.

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