Suppose you have 1000 unlabeled vials, and you want to know whether it’s T or E inside. Since you’re not a chemist, you decide to test on passoids to find out which vials contain which hormone. You know that, if injected with any amount of Testosterone, the passoid kills herself within 24 hours.

*Edit: Forgot to mention but only 1 vial contains T, the rest contain E. You only have 1 day to figure out which vial is T.

What is the minimum number of passoids you need in order to guarantee that you can label the T vial? Explain your test process as well

hint: each vial contains enough to inject multiple times

  • rank1bedrotter
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    1 month ago

    If the passoid doesn’t kill herself use the same passoid for another vial and repeat until she does. Minimum number of passoids required can’t be determined without knowing how many are T and how many are E

    Or alternatively just test each vial on as many cissoids as the contents allow (just to make sure and obviously not for TCD reasons)

    • thrwy809OP
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      1 month ago

      Sorry i forgot to mention, 1 vial is T the rest are E and you only have 1 day to figure it out

      • rank1bedrotter
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        1 month ago

        By time constraints then 1000 but if you can use another batch at that 24hr mark then 500 if you get it first try but 1000 if you don’t . Or am I missing something

        • thrwy809OP
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          1 month ago

          you only have 1 try but you can do it in fewer than 1000

        • rank1bedrotter
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          1 month ago

          Or get reaaaaaally lucky and just so happen to find the t vial first try and not test any more