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Phrase(s): You bet your (sweet) life! [and] You bet your boots!; You bet your life!; You bet your (sweet) bippy.
Inf. Fig. You can be absolutely certain of something! • Mary: Will I need a coat today? Bill: You bet your sweet life! It’s colder than an iceberg out there. • Bill: Will you be at the game Saturday? Tom: You bet your boots!
McGrawhill's American Idioms And Phrasal Verbs