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  • in a Room of 100 people, 99% of them are Spinkos. ...

    From henhanna@gmail.com@21:1/5 to All on Fri Sep 23 12:15:11 2022
    ------ pls wait 3+ days (Longer if you find it easy or trivial) before posting answers or hints.


    1. in a Room of 100 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    2. in a Room of 1000 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    if you don't like the (label) [Spinkos], pls suggest a more acceptable term. Thanks.


    __________________________
    in Finnish, a PINKO is a Synonym of hikipinko (“studious student”). https://en.wiktionary.org/wiki/hikipinko#Finnish

    -------------- a [Plodder] in Brit.English ?


    William Shakespeare, “Loues Labour’s Lost”

    [Act I, scene i]:
    Study is like the heaven’s glorious sun
    That will not be deep-search’d with saucy looks:
    Small have continual plodders ever won
    Save base authority from others' books

    ----------- i don't get these lines.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Edward Murphy@21:1/5 to henh...@gmail.com on Sun Sep 25 14:42:17 2022
    On 9/23/2022 12:15 PM, henh...@gmail.com wrote:

    ------ pls wait 3+ days (Longer if you find it easy or trivial) before posting answers or hints.


    1. in a Room of 100 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    2. in a Room of 1000 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?

    [spoiler space]































    1. 99% Spinkos = 1% non-Spinkos
    98% Spinkos = 2% non-Spinkos

    Interpreting "must" as looking for the minimum, we want the same set
    of non-Spinkos to become twice as much of a percentage of the total,
    so the total must become half its original value, i.e.

    Start with 99 Spinkos, 1 non-Spinko (99 is 99% of 100, 1 is 1%)
    50 Spinkos leave (this is the answer sought)
    End with 49 Spinkos, 1 non-Spinko (49 is 98% of 50, 1 is 2%)

    2. By the same argument, the minimum is for 500 Spinkos to leave.

    If it doesn't need to be the minimum, then we can optionally have up
    to nine additional sets of people leave, where each of these sets
    includes 49 Spinkos and 1 non-Spinko. (This wasn't an option for #1,
    as such a set leaving would leave zero people in the room.)

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From henhanna@gmail.com@21:1/5 to henh...@gmail.com on Sun Sep 25 16:59:50 2022
    On Friday, September 23, 2022 at 12:15:13 PM UTC-7, henh...@gmail.com wrote:
    ------ pls wait 3+ days (Longer if you find it easy or trivial) before posting answers or hints.


    1. in a Room of 100 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    2. in a Room of 1000 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    if you don't like the (label) [Spinkos], pls suggest a more acceptable term. Thanks.


    the real puzzle is... Can you tweak the problem(s) slightly so that
    it becomes much more tricky and interesting ?



    __________________________
    in Finnish, a PINKO is a Synonym of hikipinko (“studious student”). https://en.wiktionary.org/wiki/hikipinko#Finnish

    -------------- a [Plodder] in Brit.English ?


    William Shakespeare, “Loues Labour’s Lost”

    [Act I, scene i]:
    Study is like the heaven’s glorious sun
    That will not be deep-search’d with saucy looks:
    Small have continual plodders ever won
    Save base authority from others' books

    ----------- i don't get these lines.


    i was confused for a few hours because
    i could only think of Sun's (light) rays as
    doing the searching and glaring and looking.
    (not the other way around)

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Anton Shepelev@21:1/5 to All on Tue Sep 27 19:54:40 2022
    Hen Hanna to himself:

    [Act I, scene i]:
    Study is like the heavenТs glorious sun
    That will not be deep-search'd with saucy looks:
    Small have continual plodders ever won
    Save base authority from others' books

    ----------- i don't get these lines.

    i was confused for a few hours because
    i could only think of Sun's (light) rays as
    doing the searching and glaring and looking.
    (not the other way around)

    Now you know the meaning of passive voice.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From riverman@21:1/5 to henh...@gmail.com on Sun Nov 13 07:07:16 2022
    Yes. What if the people leave randomly, rather than exclusively selecting non-Spinkos?

    On Monday, September 26, 2022 at 7:59:52 AM UTC+8, henh...@gmail.com wrote:
    On Friday, September 23, 2022 at 12:15:13 PM UTC-7, henh...@gmail.com wrote:
    ------ pls wait 3+ days (Longer if you find it easy or trivial) before posting answers or hints.


    1. in a Room of 100 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    2. in a Room of 1000 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    if you don't like the (label) [Spinkos], pls suggest a more acceptable term. Thanks.
    the real puzzle is... Can you tweak the problem(s) slightly so that
    it becomes much more tricky and interesting ?
    __________________________
    in Finnish, a PINKO is a Synonym of hikipinko (“studious student”). https://en.wiktionary.org/wiki/hikipinko#Finnish

    -------------- a [Plodder] in Brit.English ?


    William Shakespeare, “Loues Labour’s Lost”

    [Act I, scene i]:
    Study is like the heaven’s glorious sun
    That will not be deep-search’d with saucy looks:
    Small have continual plodders ever won
    Save base authority from others' books

    ----------- i don't get these lines.
    i was confused for a few hours because
    i could only think of Sun's (light) rays as
    doing the searching and glaring and looking.
    (not the other way around)

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From Edward Murphy@21:1/5 to riverman on Sun Nov 13 14:11:09 2022
    On 11/13/2022 7:07 AM, riverman wrote:

    On Monday, September 26, 2022 at 7:59:52 AM UTC+8, henh...@gmail.com wrote:

    On Friday, September 23, 2022 at 12:15:13 PM UTC-7, henh...@gmail.com wrote:

    ------ pls wait 3+ days (Longer if you find it easy or trivial) before posting answers or hints.


    1. in a Room of 100 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    2. in a Room of 1000 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?

    the real puzzle is... Can you tweak the problem(s) slightly so that
    it becomes much more tricky and interesting ?

    Yes. What if the people leave randomly, rather than exclusively
    selecting non-Spinkos?

    Or exclusively selecting Spinkos, rather.

    Anyway, the minimum number possible is the same as if only non-Spinkos
    are selected, and the maximum number possible is whatever brings the
    number of non-Spinkos down to exactly 1. It's also possible to fail to
    hit the desired new percentage entirely, if the last non-Spinko is
    removed before it's hit.

    What's the average number, if we discard those failures? If the minimum
    and maximum are equal, then obviously it's that number. Otherwise, it's
    a question of which specific totals (of Spinkos and non-Spinkos removed)
    are possible, how many ways there are to reach each one, and how many of
    those ways also hit the percentage at some earlier point first.

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)
  • From leflynn@21:1/5 to Edward Murphy on Wed Nov 16 16:03:55 2022
    On Sunday, November 13, 2022 at 5:11:11 PM UTC-5, Edward Murphy wrote:
    On 11/13/2022 7:07 AM, riverman wrote:

    On Monday, September 26, 2022 at 7:59:52 AM UTC+8, henh...@gmail.com wrote:

    On Friday, September 23, 2022 at 12:15:13 PM UTC-7, henh...@gmail.com wrote:

    ------ pls wait 3+ days (Longer if you find it easy or trivial) before posting answers or hints.


    1. in a Room of 100 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?


    2. in a Room of 1000 people, 99% of them are Spinkos.
    How many ppl must leave the room
    to bring down the percentage of Spinkos in the room to 98% ?
    the real puzzle is... Can you tweak the problem(s) slightly so that
    it becomes much more tricky and interesting ?
    Yes. What if the people leave randomly, rather than exclusively
    selecting non-Spinkos?

    Reminds me of the fruit drying problem. You have ten pounds of fruit. It is 99% water.
    How much does it weigh when you have dried it out so that it is 95% water.
    L. Flynn

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)