A voting rule is said to be vulnerable to the truncation paradox if some voter may favor the election of a more preferable outcome by listing only part of his sincere ranking on the competing candidates than listing his entire preference ranking on all the competing candidates (Brams, 1982, Fishburn and Brams, 1983). For three-candidate elections and for large electorates, this paper provides under the Impartial Anonymous Culture assumption (IAC), an evaluation of the likelihood of the truncation paradox the whole family of the scoring rules and runoff scoring rules.