A chain is only as strong as its weakest link?

It is said that a chain is only as strong as it weakest link, meaning that it will hold until the weakest part of it breaks, the rest of the chain remaining intact and unaffected. I was thus challanged with this question from a friend.
“If a chain is only as strong as its weakest link, and will break there, what happens if every link (i know its not possible) is of equal strength?”
Will the chain not break, will all the links break at once, will it be random? what do you think?