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 |

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TextAxiomatic Definition of Probability

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Which of the following can not be valid assignment of probabilities for outcomes of sample Space S = {ω1, ω2, ω3, ω4, ω5, ω6, ω7} | Assignment | ω1 | ω2 | ω3 | ω4 | ω5 | ω6 | ω7 | |---|---|---|---|---|---|---|---| | (a) | 0.1 | 0.01 | 0.05 | 0.03 | 0.01 | 0.2 | 0.6 | | (b) | 1/7 | 1/7 | 1/7 | 1/7 | 1/7 | 1/7 | 1/7 | | (c) | 0.1 | 0.2 | 0.3 | 0.4 | 0.5 | 0.6 | 0.7 | | (d) | −0.1 | 0.2 | 0.3 | 0.4 | −0.2 | 0.1 | 0.3 | | (e) | 1/14 | 2/14 | 3/14 | 4/14 | 5/14 | 6/14 | 15/14 |

TextAxiomatic Definition of Probability