Question: An experiment has the four possible mutually exclusive outcomes \(A\), \(B\), \(C\), and \(D\). Check whether the following assignments of probability are permissible:

\(P(A)=0.38, P(B)=0.16, P(C)=0.11, P(D)=0.35\)

(b) \(P(A)=0.31, P(B)=0.27, P(C)=0.28, P(D)=0.16\)

(c) \(P(A)=0.32, P(B)=0.27, P(C)=-0.06, P(D)=0.47\)

(d) \(P(A)=\frac{1}{2}, P(B)=\frac{1}{4}, P(C)=\frac{1}{8}, P(D)=\frac{1}{16}\)

(e) \(P(A)=\frac{5}{18}, P(B)=\frac{1}{6}, P(C)=\frac{1}{3}, P(D)= \frac{2}{9}\)

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