turkey-yks 2016 Q33

turkey-yks · Other · ygs Probability Definitions Finite Equally-Likely Probability Computation

In a cube, 6 of its 8 vertices are randomly painted white and the other 2 are painted black.
What is the probability that there is an edge with both endpoints painted black in this cube?
A) $\frac { 1 } { 7 }$
B) $\frac { 2 } { 7 }$
C) $\frac { 3 } { 7 }$
D) $\frac { 4 } { 7 }$
E) $\frac { 5 } { 7 }$

In a cube, 6 of its 8 vertices are randomly painted white and the other 2 are painted black.

What is the probability that there is an edge with both endpoints painted black in this cube?\\
A) $\frac { 1 } { 7 }$\\
B) $\frac { 2 } { 7 }$\\
C) $\frac { 3 } { 7 }$\\
D) $\frac { 4 } { 7 }$\\
E) $\frac { 5 } { 7 }$

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