An experiment has four possible outcomes A, B, C, and D. Check whether the following assignments of

Question:

An experiment has four possible outcomes A, B, C, and D. Check whether the following assignments of probability are possible:
(a) P (A) = 0.20, P (B) = 0.40, P(C) = 0.09, P (D) = 0.31.
(b) P (A) = 0.41, P (B) = 0.17, P(C) = 0.12, P (D) = 0.36.
(c) P (A) = 1/8, P (B) = 1/2, P(C) = 1/4, P (D) = 1/8.