Each of Abner, Berenice, Calvin and Dolores is either a knight who always tells the truth, or a liar who always speaks falsely, or a knave who alternates between lying and telling the truth in any order.
They say:

• Abner: Berenice is a liar.
• Berenice: I am a knight.
• Calvin: If asked, Berenice would say that she is a knight.
• Dolores: I am a knight.

Given that each of the four individuals being any of the 3 types is equally likely, and all the four statements are simultaneous and independent, determine the probability that:

• Abner is a knight, Berenice is a liar and each of Calvin and Dolores is a knight.

*** For an extra challenge, solve this puzzle without taking resort to a computer program/excel solver aided methodology.