Which of the following probabilities for the sample points $A , B$, and $C$ could be true if $A , B$, and $C$ are the only sample points in an experiment?
A) $\mathrm { P } ( \mathrm { A } ) = 0 , \mathrm { P } ( \mathrm { B } ) = 1 / 2 , \mathrm { P } ( \mathrm { C } ) = 1 / 2$
B) $\mathrm { P } ( \mathrm { A } ) = 1 / 2 , \mathrm { P } ( \mathrm { B } ) = 1 / 6 , \mathrm { P } ( \mathrm { C } ) = 1 / 7$
C) $\mathrm { P } ( \mathrm { A } ) = - 1 / 4 , \mathrm { P } ( \mathrm { B } ) = 1 / 2 , \mathrm { P } ( \mathrm { C } ) = 3 / 4$
D) $\mathrm { P } ( \mathrm { A } ) = 1 / 9 , \mathrm { P } ( \mathrm { B } ) = 1 / 9 , \mathrm { P } ( \mathrm { C } ) = 1 / 9$

Question

Quizplus · Accepted Answer

The sum of probabilities of all sample points in an experiment must equal 1. Only choice A satisfies this condition with $P(A) + P(B) + P(C) = 0 + 1/2 + 1/2 = 1$.

Which of the Following Probabilities for the Sample Points A,BA , BA,B

Which of the Following Probabilities for the Sample Points $A , B$