{"id":17959,"date":"2026-02-04T13:33:24","date_gmt":"2026-02-04T13:33:24","guid":{"rendered":"https:\/\/www.simtrade.fr\/blog_simtrade\/?p=17959"},"modified":"2026-03-01T23:14:06","modified_gmt":"2026-03-01T23:14:06","slug":"randomness-game","status":"publish","type":"post","link":"https:\/\/www.simtrade.fr\/blog_simtrade\/randomness-game\/","title":{"rendered":"Randomness game"},"content":{"rendered":"\n<div id=\"randomness-game\" class=\"rg\"> \n  <h3 class=\"rg__title\">Randomness Game<\/h3>\n\n  <p class=\"rg__intro\">\n    Randomness is more difficult to generate than it may appear. The human mind \n    struggles to behave in a truly random manner: even when we aim to make \n    independent choices, our decisions tend to exhibit systematic and detectable patterns. This game illustrates that difficulty.\n  <\/p>\n\n  <p class=\"rg__intro\">\n    You are invited to participate in a simple strategic experiment inspired by game theory. \n    At each trial, the simulator attempts to generate Head and Tail with a probability of 50%, \n    which constitutes the optimal strategy in this setting. Your task is to choose between \n    Head and Tail. If both choices coincide \u2014 in other words, if you correctly guess the \n    simulator\u2019s choice \u2014 you win the trial. You have <span id=\"rg-max-trials-text\"><\/span> trials in total.\n  <\/p>\n\n  <p class=\"rg__intro\">\n    Can you beat randomness \u2014 or will randomness beat you?\n  <\/p>\n\n  <div class=\"rg__board\">\n\n    <!-- YOUR CHOICE -->\n    <section class=\"rg__panel\">\n      <div class=\"rg__panelTitle rg__panelTitle--center\">Your choice<\/div>\n      <div class=\"rg__controls\">\n        <button class=\"rg__btn rg__btn--img rg__choice\" data-choice=\"H\">\n          <img decoding=\"async\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Head_Your_choice_w300_h300_V1.jpg\" alt=\"Head\">\n          <span>Head<\/span>\n        <\/button>\n        <button class=\"rg__btn rg__btn--img rg__choice\" data-choice=\"T\">\n          <img decoding=\"async\" src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Tail_Your_choice_w300_h300_V1.jpg\" alt=\"Tail\">\n          <span>Tail<\/span>\n        <\/button>\n      <\/div>\n    <\/section>\n\n    <!-- SIMULATOR CHOICE -->\n    <section class=\"rg__panel\">\n      <div class=\"rg__panelTitle rg__panelTitle--center\">Simulator choice<\/div>\n\n      <div class=\"rg__controls rg__controls--sim rg__controls--sim2\">\n        <div id=\"rg-sim-head\" class=\"rg__btn rg__btn--img rg__btn--simCard rg__btn--simFrame\">\n          <img decoding=\"async\" id=\"rg-sim-head-img\"\n               src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Head_Simulator_choice_hidden_w300_h300_V1.png\"\n               alt=\"Simulator Head\">\n          <!-- (1) subtitles in bold -->\n          <span class=\"rg__simCaption rg__simCaption--bold\"><strong>Head<\/strong><\/span>\n        <\/div>\n\n        <div id=\"rg-sim-tail\" class=\"rg__btn rg__btn--img rg__btn--simCard rg__btn--simFrame\">\n          <img decoding=\"async\" id=\"rg-sim-tail-img\"\n               src=\"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Tail_Simulator_choice_hidden_w300_h300_V1.png\"\n               alt=\"Simulator Tail\">\n          <!-- (1) subtitles in bold -->\n          <span class=\"rg__simCaption rg__simCaption--bold\"><strong>Tail<\/strong><\/span>\n        <\/div>\n      <\/div>\n    <\/section>\n\n  <\/div>\n\n  <div class=\"rg__status\">\n    <!-- Trial -->\n    <div class=\"rg__row\">\n      <span>Trial<\/span>\n      <span><span id=\"rg-trial\">0<\/span> \/ <span id=\"rg-max-trials\"><\/span><\/span>\n    <\/div>\n\n    <!-- (2) Result moved right after Trial -->\n    <div class=\"rg__row\"><span>Result<\/span><span id=\"rg-result\">\u2014<\/span><\/div>\n\n    <div class=\"rg__row\"><span>Your last choice<\/span><span id=\"rg-player\">\u2014<\/span><\/div>\n    <div class=\"rg__row\"><span>Simulator last choice<\/span><span id=\"rg-sim-last\">\u2014<\/span><\/div>\n\n    <div class=\"rg__row rg__row--score\">\n      <span id=\"rg-score-label\">Score<\/span>\n      <span><span id=\"rg-score\">0<\/span> \/ <span id=\"rg-played\">0<\/span><\/span>\n    <\/div>\n  <\/div>\n\n  <div class=\"rg__actions\">\n    <button id=\"rg-history-btn\" class=\"rg__reset\">Show history<\/button>\n    <button id=\"rg-reset\" class=\"rg__reset\">Reset<\/button>\n  <\/div>\n\n  <div id=\"rg-history\" class=\"rg__history\" hidden>\n    <table class=\"rg__table\">\n      <thead>\n        <tr>\n          <th>Trial<\/th>\n          <th>Your choice<\/th>\n          <th>Simulator<\/th>\n          <th>Result<\/th>\n        <\/tr>\n      <\/thead>\n      <tbody id=\"rg-body\"><\/tbody>\n    <\/table>\n  <\/div>\n<\/div>\n\n<style>\n.rg {\n  font-family: system-ui, Arial, sans-serif;\n  max-width: 760px;\n  border: 1px solid #e6e6e6;\n  border-radius: 14px;\n  padding: 16px;\n}\n\n.rg__board { display: grid; grid-template-columns: 1fr 1fr; gap: 14px; }\n.rg__panel { border: 1px solid #f0f0f0; border-radius: 14px; padding: 12px; }\n.rg__panelTitle { text-align: center; font-weight: 700; margin-bottom: 10px; }\n\n.rg__controls { display: grid; grid-template-columns: 1fr 1fr; gap: 12px; }\n.rg__controls--sim { grid-template-columns: 1fr; }\n\n.rg__btn {\n  border: 1px solid #d8d8d8;\n  background: #fff;\n  border-radius: 14px;\n  padding: 10px;\n  width: 100%;\n  cursor: pointer;\n}\n\n.rg__btn--img { display: flex; flex-direction: column; align-items: center; gap: 6px; }\n.rg__btn--img img { width: 104px; height: 104px; border-radius: 50%; }\n\n.rg__choice span { font-weight: 600; color: #000; }\n\n.rg .rg__choice:hover { background: #f0f0f0 !important; }\n.rg .rg__choice:focus,\n.rg .rg__choice:active { background: #fff !important; box-shadow: none !important; outline: none !important; }\n\n.rg .rg__choice.rg--activePick,\n.rg .rg__btn--simFrame.rg--activePick { background: #f0f0f0 !important; }\n\n.rg__btn--simFrame { border-style: dashed; cursor: default; }\n\n.rg__status { margin-top: 12px; border-top: 1px solid #eee; padding-top: 12px; }\n.rg__row { display: flex; justify-content: space-between; padding: 6px 0; }\n.rg__row--score { border-top: 1px dashed #eee; padding-top: 10px; }\n\n.rg__actions { margin-top: 14px; display: flex; justify-content: space-between; }\n\n.rg__reset {\n  border: 1px solid #d8d8d8;\n  background: #fafafa;\n  padding: 8px 14px;\n  border-radius: 10px;\n  font-weight: 700;\n  cursor: pointer;\n}\n\n.rg__reset--final {\n  background: #000 !important;\n  color: #fff !important;\n  border-color: #000 !important;\n  box-shadow: 0 10px 24px rgba(0,0,0,.25);\n}\n\n.rg__table { width: 100%; border-collapse: collapse; margin-top: 10px; }\n.rg__table th, .rg__table td { text-align: center; padding: 8px 6px; border-bottom: 1px solid #eee; }\n\n.rg__pill { display: inline-block; padding: 2px 10px; border-radius: 999px; font-weight: 700; }\n.rg__win { background: #e6f4ea; }\n.rg__lose { background: #fde8ec; }\n\n.rg--lockedChoices .rg__choice { cursor: default; }\n\n\/* Simulator: 2-column layout *\/\n.rg__controls--sim2 { grid-template-columns: 1fr 1fr; }\n.rg__btn--simCard img { width: 104px; height: 104px; border-radius: 50%; }\n<\/style>\n\n<script>\n(() => {\n  const maxTrials = 10;\n  const revealDurationMs = 1000;\n\n  document.getElementById(\"rg-max-trials-text\").textContent = maxTrials;\n  document.getElementById(\"rg-max-trials\").textContent = maxTrials;\n\n  const root = document.getElementById(\"randomness-game\");\n  const btns = document.querySelectorAll(\".rg__choice\");\n  const historyBtn = document.getElementById(\"rg-history-btn\");\n  const historyBox = document.getElementById(\"rg-history\");\n  const resetBtn = document.getElementById(\"rg-reset\");\n\n  const elTrial = document.getElementById(\"rg-trial\");\n  const elPlayed = document.getElementById(\"rg-played\");\n  const elScore = document.getElementById(\"rg-score\");\n  const elScoreLabel = document.getElementById(\"rg-score-label\");\n  const elPlayer = document.getElementById(\"rg-player\");\n  const elSimLast = document.getElementById(\"rg-sim-last\");\n  const elResult = document.getElementById(\"rg-result\");\n  const elBody = document.getElementById(\"rg-body\");\n\n  const elSimHead = document.getElementById(\"rg-sim-head\");\n  const elSimTail = document.getElementById(\"rg-sim-tail\");\n  const elSimHeadImg = document.getElementById(\"rg-sim-head-img\");\n  const elSimTailImg = document.getElementById(\"rg-sim-tail-img\");\n\n  \/\/ Player images (grab <img> inside each button)\n  const elPlayerHeadImg = document.querySelector('.rg__choice[data-choice=\"H\"] img');\n  const elPlayerTailImg = document.querySelector('.rg__choice[data-choice=\"T\"] img');\n\n  let played = 0, score = 0, locked = false;\n\n  \/\/ Player images: default \/ chosen\n  const playerDefault = {\n    H: \"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Head_Your_choice_w300_h300_V1.jpg\",\n    T: \"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Tail_Your_choice_w300_h300_V1.jpg\"\n  };\n\n  const playerChosen = {\n    H: \"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Head_Your_choice_chosen_w300_h300_V1.jpg\",\n    T: \"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Tail_Your_choice_chosen_w300_h300_V1.jpg\"\n  };\n\n  function resetPlayerDisplay() {\n    elPlayerHeadImg.src = playerDefault.H;\n    elPlayerTailImg.src = playerDefault.T;\n  }\n\n  function setPlayerChosen(choice) {\n    if (choice === \"H\") {\n      elPlayerHeadImg.src = playerChosen.H;\n      elPlayerTailImg.src = playerDefault.T;\n    } else {\n      elPlayerTailImg.src = playerChosen.T;\n      elPlayerHeadImg.src = playerDefault.H;\n    }\n  }\n\n  \/\/ Simulator images: hidden \/ revealed\n  const simHidden = {\n    H: \"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Head_Simulator_choice_hidden_w300_h300_V1.png\",\n    T: \"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Tail_Simulator_choice_hidden_w300_h300_V1.png\"\n  };\n\n  const simRevealed = {\n    H: \"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Head_Simulator_choice_revealed_w300_h300_V1.png\",\n    T: \"https:\/\/www.simtrade.fr\/blog_simtrade\/wp-content\/uploads\/2026\/03\/img_Coin_Tail_Simulator_choice_revealed_w300_h300_V1.png\"\n  };\n\n  const label = x => x === \"H\" ? \"Head\" : \"Tail\";\n\n  function resetSimDisplay() {\n    elSimHeadImg.src = simHidden.H;\n    elSimTailImg.src = simHidden.T;\n    elSimHead.classList.remove(\"rg--activePick\");\n    elSimTail.classList.remove(\"rg--activePick\");\n  }\n\n  function revealSim(sim) {\n    if (sim === \"H\") {\n      elSimHeadImg.src = simRevealed.H;\n      elSimHead.classList.add(\"rg--activePick\");\n    } else {\n      elSimTailImg.src = simRevealed.T;\n      elSimTail.classList.add(\"rg--activePick\");\n    }\n  }\n\n  \/\/ Initial state\n  resetSimDisplay();\n  resetPlayerDisplay();\n\n  historyBtn.onclick = () => {\n    historyBox.hidden = !historyBox.hidden;\n    historyBtn.textContent = historyBox.hidden ? \"Show history\" : \"Hide history\";\n  };\n\n  btns.forEach(btn => btn.onclick = () => {\n    if (locked || played >= maxTrials) return;\n    locked = true;\n\n    const choice = btn.dataset.choice;\n\n    \/\/ Player visual: switch to \"chosen\" immediately\n    setPlayerChosen(choice);\n\n    btn.classList.add(\"rg--activePick\");\n\n    const sim = Math.random() < 0.5 ? \"H\" : \"T\";\n    const win = choice === sim;\n\n    played++;\n    if (win) score++;\n\n    elTrial.textContent = played;\n    elPlayed.textContent = played;\n    elScore.textContent = score;\n\n    elPlayer.textContent = label(choice);\n    elSimLast.textContent = label(sim);\n    elResult.innerHTML =\n      `<span class=\"rg__pill ${win ? \"rg__win\" : \"rg__lose\"}\">${win ? \"Win\" : \"Lose\"}<\/span>`;\n\n    elBody.insertAdjacentHTML(\n      \"beforeend\",\n      `<tr>\n        <td>${played}<\/td>\n        <td>${label(choice)}<\/td>\n        <td>${label(sim)}<\/td>\n        <td><span class=\"rg__pill ${win ? \"rg__win\" : \"rg__lose\"}\">${win ? \"Win\" : \"Lose\"}<\/span><\/td>\n      <\/tr>`\n    );\n\n    revealSim(sim);\n\n    if (played === maxTrials) {\n      elScoreLabel.textContent = \"Final score\";\n      resetBtn.classList.add(\"rg__reset--final\");\n      historyBtn.classList.add(\"rg__reset--final\");\n      root.classList.add(\"rg--lockedChoices\");\n    }\n\n    setTimeout(() => {\n      resetSimDisplay();\n      resetPlayerDisplay();\n\n      btn.classList.remove(\"rg--activePick\");\n      locked = false;\n    }, revealDurationMs);\n  });\n\n  resetBtn.onclick = () => location.reload();\n})();\n<\/script>\n","protected":false},"excerpt":{"rendered":"<p>Randomness Game Randomness is more difficult to generate than it may appear. The human mind struggles to behave in a truly random manner: even when we aim to make independent choices, our decisions tend to exhibit systematic and detectable patterns. This game illustrates that difficulty. You are invited to participate in a simple strategic experiment &#8230; <a title=\"Randomness game\" class=\"read-more\" href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/randomness-game\/\" aria-label=\"Read more about Randomness game\">Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[5,10],"tags":[953],"class_list":["post-17959","post","type-post","status-publish","format-standard","hentry","category-contributors","category-financial-techniques","tag-randomness"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.3 (Yoast SEO v27.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Randomness game - SimTrade blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.simtrade.fr\/blog_simtrade\/randomness-game\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Randomness game\" \/>\n<meta property=\"og:description\" content=\"Randomness Game Randomness is more difficult to generate than it may appear. The human mind struggles to behave in a truly random manner: even when we aim to make independent choices, our decisions tend to exhibit systematic and detectable patterns. This game illustrates that difficulty. You are invited to participate in a simple strategic experiment ... 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The human mind struggles to behave in a truly random manner: even when we aim to make independent choices, our decisions tend to exhibit systematic and detectable patterns. This game illustrates that difficulty. You are invited to participate in a simple strategic experiment ... 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