A Sample Space Contains Three Outcomes, A, B, and C $P ( \mathrm {~A} ) = 0.2 \quad P ( \mathrm {~B} ) = 0.4 \quad P ( \mathrm { C } ) = 0.6$

question 102

Multiple Choice

A sample space contains three outcomes, A, B, and C. Which of the following could be a legitimate assignment of probabilities to the outcomes?

• A) \(P ( \mathrm {~A} ) = 0.2 \quad P ( \mathrm {~B} ) = 0.4 \quad P ( \mathrm { C } ) = 0.6\)
• B) \(P ( \mathrm {~A} ) = 0.2 \quad P ( \mathrm {~B} ) = 0.2 \quad P ( \mathrm { C } ) = 0.6\)
• C) \(P ( A ) = 2 \quad P ( B ) = 3 \quad P ( C ) = 1\)
• D) \(P ( \mathrm {~A} ) = 0.3 \quad P ( \mathrm {~B} ) = 0.3 \quad P ( \mathrm { C } ) = 0.3\)

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