Cracking the Riddle
The secret to solving this puzzle lies entirely in the dual meaning of the phrase "count on." * While the human brain immediately searches for comforting concepts—like family, true friends, or resilience—the riddle functions as a pun.
The literal answer to the riddle is your fingers (or a calculator). When circumstances "go wrong" or become structurally complicated, your fingers are quite literally what you will always use to physically count.