Question

Let a sample space be S = {ω1, ω2,..., ω6}.Which of the following assignments of probabilities to each outcome are valid? | Outcomes | ω1 | ω2 | ω3 | ω4 | ω5 | ω6 | |---|---|---|---|---|---|---| | (a) | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 | | (b) | 1 | 0 | 0 | 0 | 0 | 0 | | (c) | 1/8 | 2/3 | 1/3 | 1/3 | −1/4 | −1/3 | | (d) | 1/12 | 1/12 | 1/6 | 1/6 | 1/6 | 3/2 | | (e) | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 |