  Coalitional manipulation in voting is considered to be any scenario in which
a group of voters decide to misrepresent their vote in order to secure an
outcome they all prefer to the first outcome of the election when they vote
honestly. The present paper is devoted to study coalitional manipulability
within the class of scoring voting rules. For any such rule and any number of
alternatives, we introduce a new approach allowing to characterize all the
outcomes that can be manipulable by a coalition of voters. This gives us the
possibility to find the probability of manipulable outcomes for some
well-studied scoring voting rules in case of small number of alternatives and
large electorates under a well-known assumption on individual preference
profiles.
