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

(a) $P(A)=0.38, P(B)=0.16, P(C)=0.11, P(D)=$ $0.35$
(b) $P(A)=0.27, P(B)=0.30, P(C)=0.28, P(D)=$ $0.16$
(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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