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

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) $P ( \mathrm {~A} ) = 0.3 \quad P ( \mathrm {~B} ) = 0.3 \quad P ( \mathrm { C } ) = 0.3$