Symfony Profiler

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        -----------------------------------------------------------------\n
        \n
        ---\n
        \n
        **Rules: (interactive)**\n
        ------------------------\n
        \n
        ---\n
        \n
        1) Be nice and; have funDoxxing, trolling, sealioning, racism, and toxicity are not welcomed in AskLemmy. Remember what your mother said: if you can’t say something nice, don’t say anything at all. In addition, the site-wide Lemmy.world terms of service also apply here. [Please familiarize yourself with them](https://legal.lemmy.world/tos/)\n
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        \n
        ---\n
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        4) NSFW is okay, within reasonJust remember to tag posts with either a content warning or a [NSFW] tag. Overtly sexual posts are not allowed, please direct them to either [!asklemmyafterdark@lemmy.world](https://lemmy.world/c/asklemmyafterdark) or [!asklemmynsfw@lemmynsfw.com](https://lemmynsfw.com/c/asklemmynsfw). NSFW comments should be restricted to posts tagged [NSFW].\n
        \n
        ---\n
        \n
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        \n
        ---\n
        \n
        Reminder: The [terms of service](https://legal.lemmy.world/tos/) apply here too.\n
        \n
        Partnered Communities:\n
        ----------------------\n
        \n
        [Tech Support](/c/techsupport@lemmy.world)\n
        \n
        [No Stupid Questions](/c/nostupidquestions@lemmy.world)\n
        \n
        [You Should Know](/c/youshouldknow@lemmy.world)\n
        \n
        [Reddit](/c/reddit@lemmy.world)\n
        \n
        [Jokes](/c/jokes@lemmy.world)\n
        \n
        [Ask Ouija](/c/askouija@lemmy.world)\n
        \n
        ---\n
        \n
        Logo design credit goes to: [tubbadu](/u/tubbadu@lemmy.world)\n
        \n
        ---\n
        \n
        ![](https://img.shields.io/lemmy/asklemmy%40lemmy.world?logo=lemmy&label=Total%20Subscribers)
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      \n
      IMPORTANT EDIT: YOU DO NOT KNOW WHICH ANSWER YOU HAD RIGHT OR WRONG THE SECOND TIME AROUND. You only know how many questions you got right. But you don’t know which. Sorry for the confusion!
      """
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        A Fediverse community for open-ended, thought provoking questions\n
        -----------------------------------------------------------------\n
        \n
        ---\n
        \n
        **Rules: (interactive)**\n
        ------------------------\n
        \n
        ---\n
        \n
        1) Be nice and; have funDoxxing, trolling, sealioning, racism, and toxicity are not welcomed in AskLemmy. Remember what your mother said: if you can’t say something nice, don’t say anything at all. In addition, the site-wide Lemmy.world terms of service also apply here. [Please familiarize yourself with them](https://legal.lemmy.world/tos/)\n
        \n
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        \n
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        \n
        ---\n
        \n
        4) NSFW is okay, within reasonJust remember to tag posts with either a content warning or a [NSFW] tag. Overtly sexual posts are not allowed, please direct them to either [!asklemmyafterdark@lemmy.world](https://lemmy.world/c/asklemmyafterdark) or [!asklemmynsfw@lemmynsfw.com](https://lemmynsfw.com/c/asklemmynsfw). NSFW comments should be restricted to posts tagged [NSFW].\n
        \n
        ---\n
        \n
        5) This is not a support community.It is not a place for ‘how do I?’, type questions. If you have any questions regarding the site itself or would like to report a community, please direct them to [Lemmy.world Support](https://lemmy.world/c/support) or email info@lemmy.world. For other questions check our partnered communities list, or use the search function.\n
        \n
        ---\n
        \n
        Reminder: The [terms of service](https://legal.lemmy.world/tos/) apply here too.\n
        \n
        Partnered Communities:\n
        ----------------------\n
        \n
        [Tech Support](/c/techsupport@lemmy.world)\n
        \n
        [No Stupid Questions](/c/nostupidquestions@lemmy.world)\n
        \n
        [You Should Know](/c/youshouldknow@lemmy.world)\n
        \n
        [Reddit](/c/reddit@lemmy.world)\n
        \n
        [Jokes](/c/jokes@lemmy.world)\n
        \n
        [Ask Ouija](/c/askouija@lemmy.world)\n
        \n
        ---\n
        \n
        Logo design credit goes to: [tubbadu](/u/tubbadu@lemmy.world)\n
        \n
        ---\n
        \n
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        """
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      Hi,\n
      \n
      I just did a test which had two multiple choice questions. Each question was worth one point. Getting them both right would result in getting a 100% score. Suffice it to say, getting just one question right would give you 50% and with that a passing grade.\n
      \n
      So you have two multiple choice questions. Both of which are unrelated to the other. Each question has four possible answers. When you finish the test. You get to have one more try. The questions and possible answers remain the same.\n
      \n
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      \n
      Edit: Both questions only have one correct answer.\n
      \n
      IMPORTANT EDIT: YOU DO NOT KNOW WHICH ANSWER YOU HAD RIGHT OR WRONG THE SECOND TIME AROUND. You only know how many questions you got right. But you don’t know which. Sorry for the confusion!
      """
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[
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]

App\Twig\Components\DateComponent {#3204
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App\Twig\Components\DateEditedComponent {#3268
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[
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      +title: "asklemmy"
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        A Fediverse community for open-ended, thought provoking questions\n
        -----------------------------------------------------------------\n
        \n
        ---\n
        \n
        **Rules: (interactive)**\n
        ------------------------\n
        \n
        ---\n
        \n
        1) Be nice and; have funDoxxing, trolling, sealioning, racism, and toxicity are not welcomed in AskLemmy. Remember what your mother said: if you can’t say something nice, don’t say anything at all. In addition, the site-wide Lemmy.world terms of service also apply here. [Please familiarize yourself with them](https://legal.lemmy.world/tos/)\n
        \n
        ---\n
        \n
        2) All posts must end with a '?'This is sort of like Jeopardy. Please phrase all post titles in the form of a proper question ending with ?\n
        \n
        ---\n
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        3) No spamPlease do not flood the community with nonsense. Actual suspected spammers will be banned on site. No astroturfing.\n
        \n
        ---\n
        \n
        4) NSFW is okay, within reasonJust remember to tag posts with either a content warning or a [NSFW] tag. Overtly sexual posts are not allowed, please direct them to either [!asklemmyafterdark@lemmy.world](https://lemmy.world/c/asklemmyafterdark) or [!asklemmynsfw@lemmynsfw.com](https://lemmynsfw.com/c/asklemmynsfw). NSFW comments should be restricted to posts tagged [NSFW].\n
        \n
        ---\n
        \n
        5) This is not a support community.It is not a place for ‘how do I?’, type questions. If you have any questions regarding the site itself or would like to report a community, please direct them to [Lemmy.world Support](https://lemmy.world/c/support) or email info@lemmy.world. For other questions check our partnered communities list, or use the search function.\n
        \n
        ---\n
        \n
        Reminder: The [terms of service](https://legal.lemmy.world/tos/) apply here too.\n
        \n
        Partnered Communities:\n
        ----------------------\n
        \n
        [Tech Support](/c/techsupport@lemmy.world)\n
        \n
        [No Stupid Questions](/c/nostupidquestions@lemmy.world)\n
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        [You Should Know](/c/youshouldknow@lemmy.world)\n
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        [Reddit](/c/reddit@lemmy.world)\n
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        [Jokes](/c/jokes@lemmy.world)\n
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        [Ask Ouija](/c/askouija@lemmy.world)\n
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        Logo design credit goes to: [tubbadu](/u/tubbadu@lemmy.world)\n
        \n
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        ![](https://img.shields.io/lemmy/asklemmy%40lemmy.world?logo=lemmy&label=Total%20Subscribers)
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      Hi,\n
      \n
      I just did a test which had two multiple choice questions. Each question was worth one point. Getting them both right would result in getting a 100% score. Suffice it to say, getting just one question right would give you 50% and with that a passing grade.\n
      \n
      So you have two multiple choice questions. Both of which are unrelated to the other. Each question has four possible answers. When you finish the test. You get to have one more try. The questions and possible answers remain the same.\n
      \n
      Let’s say you use both tries and you remember your previous two respected answers. What would your odds be, if you were to brute force guess your way through this test, to get a passing grade or a 100%?\n
      \n
      Edit: Both questions only have one correct answer.\n
      \n
      IMPORTANT EDIT: YOU DO NOT KNOW WHICH ANSWER YOU HAD RIGHT OR WRONG THE SECOND TIME AROUND. You only know how many questions you got right. But you don’t know which. Sorry for the confusion!
      """
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App\Twig\Components\VoteComponent {#3333
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        [No Stupid Questions](/c/nostupidquestions@lemmy.world)\n
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      IMPORTANT EDIT: YOU DO NOT KNOW WHICH ANSWER YOU HAD RIGHT OR WRONG THE SECOND TIME AROUND. You only know how many questions you got right. But you don’t know which. Sorry for the confusion!
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        \n
        **Rules: (interactive)**\n
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        \n
        ---\n
        \n
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        \n
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        [Tech Support](/c/techsupport@lemmy.world)\n
        \n
        [No Stupid Questions](/c/nostupidquestions@lemmy.world)\n
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        [You Should Know](/c/youshouldknow@lemmy.world)\n
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      Hi,\n
      \n
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      \n
      IMPORTANT EDIT: YOU DO NOT KNOW WHICH ANSWER YOU HAD RIGHT OR WRONG THE SECOND TIME AROUND. You only know how many questions you got right. But you don’t know which. Sorry for the confusion!
      """
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        \n
        Reminder: The [terms of service](https://legal.lemmy.world/tos/) apply here too.\n
        \n
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        \n
        [Tech Support](/c/techsupport@lemmy.world)\n
        \n
        [No Stupid Questions](/c/nostupidquestions@lemmy.world)\n
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        -----------------------------------------------------------------\n
        \n
        ---\n
        \n
        **Rules: (interactive)**\n
        ------------------------\n
        \n
        ---\n
        \n
        1) Be nice and; have funDoxxing, trolling, sealioning, racism, and toxicity are not welcomed in AskLemmy. Remember what your mother said: if you can’t say something nice, don’t say anything at all. In addition, the site-wide Lemmy.world terms of service also apply here. [Please familiarize yourself with them](https://legal.lemmy.world/tos/)\n
        \n
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        ---\n
        \n
        Reminder: The [terms of service](https://legal.lemmy.world/tos/) apply here too.\n
        \n
        Partnered Communities:\n
        ----------------------\n
        \n
        [Tech Support](/c/techsupport@lemmy.world)\n
        \n
        [No Stupid Questions](/c/nostupidquestions@lemmy.world)\n
        \n
        [You Should Know](/c/youshouldknow@lemmy.world)\n
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        [Reddit](/c/reddit@lemmy.world)\n
        \n
        [Jokes](/c/jokes@lemmy.world)\n
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        [Ask Ouija](/c/askouija@lemmy.world)\n
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        \n
        Logo design credit goes to: [tubbadu](/u/tubbadu@lemmy.world)\n
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      Hi,\n
      \n
      I just did a test which had two multiple choice questions. Each question was worth one point. Getting them both right would result in getting a 100% score. Suffice it to say, getting just one question right would give you 50% and with that a passing grade.\n
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      \n
      IMPORTANT EDIT: YOU DO NOT KNOW WHICH ANSWER YOU HAD RIGHT OR WRONG THE SECOND TIME AROUND. You only know how many questions you got right. But you don’t know which. Sorry for the confusion!
      """
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        A Fediverse community for open-ended, thought provoking questions\n
        -----------------------------------------------------------------\n
        \n
        ---\n
        \n
        **Rules: (interactive)**\n
        ------------------------\n
        \n
        ---\n
        \n
        1) Be nice and; have funDoxxing, trolling, sealioning, racism, and toxicity are not welcomed in AskLemmy. Remember what your mother said: if you can’t say something nice, don’t say anything at all. In addition, the site-wide Lemmy.world terms of service also apply here. [Please familiarize yourself with them](https://legal.lemmy.world/tos/)\n
        \n
        ---\n
        \n
        2) All posts must end with a '?'This is sort of like Jeopardy. Please phrase all post titles in the form of a proper question ending with ?\n
        \n
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        3) No spamPlease do not flood the community with nonsense. Actual suspected spammers will be banned on site. No astroturfing.\n
        \n
        ---\n
        \n
        4) NSFW is okay, within reasonJust remember to tag posts with either a content warning or a [NSFW] tag. Overtly sexual posts are not allowed, please direct them to either [!asklemmyafterdark@lemmy.world](https://lemmy.world/c/asklemmyafterdark) or [!asklemmynsfw@lemmynsfw.com](https://lemmynsfw.com/c/asklemmynsfw). NSFW comments should be restricted to posts tagged [NSFW].\n
        \n
        ---\n
        \n
        5) This is not a support community.It is not a place for ‘how do I?’, type questions. If you have any questions regarding the site itself or would like to report a community, please direct them to [Lemmy.world Support](https://lemmy.world/c/support) or email info@lemmy.world. For other questions check our partnered communities list, or use the search function.\n
        \n
        ---\n
        \n
        Reminder: The [terms of service](https://legal.lemmy.world/tos/) apply here too.\n
        \n
        Partnered Communities:\n
        ----------------------\n
        \n
        [Tech Support](/c/techsupport@lemmy.world)\n
        \n
        [No Stupid Questions](/c/nostupidquestions@lemmy.world)\n
        \n
        [You Should Know](/c/youshouldknow@lemmy.world)\n
        \n
        [Reddit](/c/reddit@lemmy.world)\n
        \n
        [Jokes](/c/jokes@lemmy.world)\n
        \n
        [Ask Ouija](/c/askouija@lemmy.world)\n
        \n
        ---\n
        \n
        Logo design credit goes to: [tubbadu](/u/tubbadu@lemmy.world)\n
        \n
        ---\n
        \n
        ![](https://img.shields.io/lemmy/asklemmy%40lemmy.world?logo=lemmy&label=Total%20Subscribers)
        """
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      \n
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      \n
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      IMPORTANT EDIT: YOU DO NOT KNOW WHICH ANSWER YOU HAD RIGHT OR WRONG THE SECOND TIME AROUND. You only know how many questions you got right. But you don’t know which. Sorry for the confusion!
      """
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        +name: "asklemmy@lemmy.world"
        +title: "asklemmy"
        +description: """
          A Fediverse community for open-ended, thought provoking questions\n
          -----------------------------------------------------------------\n
          \n
          ---\n
          \n
          **Rules: (interactive)**\n
          ------------------------\n
          \n
          ---\n
          \n
          1) Be nice and; have funDoxxing, trolling, sealioning, racism, and toxicity are not welcomed in AskLemmy. Remember what your mother said: if you can’t say something nice, don’t say anything at all. In addition, the site-wide Lemmy.world terms of service also apply here. [Please familiarize yourself with them](https://legal.lemmy.world/tos/)\n
          \n
          ---\n
          \n
          2) All posts must end with a '?'This is sort of like Jeopardy. Please phrase all post titles in the form of a proper question ending with ?\n
          \n
          ---\n
          \n
          3) No spamPlease do not flood the community with nonsense. Actual suspected spammers will be banned on site. No astroturfing.\n
          \n
          ---\n
          \n
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      +slug: "What-are-the-odds-of-getting-a-passing-grade-by"
      +title: "What are the odds of getting a passing grade by sheer guessing here?"
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        Hi,\n
        \n
        I just did a test which had two multiple choice questions. Each question was worth one point. Getting them both right would result in getting a 100% score. Suffice it to say, getting just one question right would give you 50% and with that a passing grade.\n
        \n
        So you have two multiple choice questions. Both of which are unrelated to the other. Each question has four possible answers. When you finish the test. You get to have one more try. The questions and possible answers remain the same.\n
        \n
        Let’s say you use both tries and you remember your previous two respected answers. What would your odds be, if you were to brute force guess your way through this test, to get a passing grade or a 100%?\n
        \n
        Edit: Both questions only have one correct answer.\n
        \n
        IMPORTANT EDIT: YOU DO NOT KNOW WHICH ANSWER YOU HAD RIGHT OR WRONG THE SECOND TIME AROUND. You only know how many questions you got right. But you don’t know which. Sorry for the confusion!
        """
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    +body: """
      I see some correct solutions for the 50% case here already, so this reply is going for a perfect score within two tries.\n
      \n
      There are 16 ways to answer the quiz, one of which is correct. Assuming you don’t repeat your previous answers, two attempts give you a 2/16 or 1/8 chance that one of them is perfect.\n
      \n
      Now if you get feedback between your attempts, you should be able to do better. Let’s see by how much and break it into cases:\n
      \n
      1. Your first guess is already perfect. This happens 1/16 of the time. No further guessing is needed.\n
      2. Your first guess is 50% correct. This happens 3/8 of the time. Picking one of the unguessed answers improves your score to 100% 1/6 of the time.\n
      3. Your first guess is completely wrong. This happens 9/16 of the time. Picking different answers for both questions wins 1/9 of the time.\n
      \n
      So the overall chance of a perfect score is the weighted sum of these cases or 1/16 + (3/8 * 1/6) + (9/16 * 1/9) = 3/16.
      """
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