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

  • 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

      • 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

      • thrwy809OP
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        1 month ago

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