A die (if someone says "dice", that is the plural).
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If the "number cube" you are referring to is what we normally call a die (one of a pair of dice), the chances of tossing an 8 are nothing since the cube has only 6 sides and is numbered 1 to 6. If a "number cube" is something else, perhaps someone else can answer the question.
1/6
They do not call it the cube. The arabic name is al Kabba (or al Qabba) which got garbled to cube in transliteration.
7
The probability is zero. That means that it can't happen, because there's no '7' anywhere on the cube.