{{ block title }}
Three Tasks
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{{ block content }}
<script src='{{ static 'randomSequences.js'}}'></script>
<style>
table, th, td {
    border: 1px solid black;
    border-collapse: collapse;
    text-align: center;
    vertical-align: middle;
}
</style>

<p>
    Your were randomly paired with another participant (Participant 2) in this session.
</p>
<p>
    The computer selects the Yellow Box with a probability of: 20%, 50%, or 90%.
    Each probability is used in a task where you and Participant 2 have to report the strategy for each sample.
    <strong>
        You and Participant 2 will know the probability that the Yellow Box will be selected in each task.
    </strong>
</p>
<p>
  For every possible sample of four marbles,
    you and Participant 2 will guess the probability the computer selected either the Yellow or the Green box
    to draw that sample.
    You will have to wait until Participant 2 has reported their guesses before continuing to the next task.
</p>

<h3>Initial Probability of Selecting each Box</h3>

<p>
    The computer can select the Yellow Box with one of these probabilities (in %): 20, 50, or 90.
    You can think of this as selecting randomly one box from one of three different cabinets:
</p>

<p>
<table>
<thead>
  <tr>
    <th colspan="3">Cabinet 1</th>
  </tr>
</thead>
<tbody>
  <tr>
    <td>Boxes</td>
    <td>Probability of selecting a <strong>Yellow</strong> Box</td>
    <td>Probability of selecting a <strong>Green</strong> Box</td>
  </tr>
  <tr>
    <td>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <BR>

        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
    </td>
    <td>20</td>
    <td>80</td>
  </tr>
</tbody>
</table>
</p>

<!-- Cabinet 2 -->
<p>
<table>
<thead>
  <tr>
    <th colspan="3">Cabinet 2</th>
  </tr>
</thead>
<tbody>
  <tr>
    <td>Boxes</td>
    <td>Probability of selecting a <strong>Yellow</strong> Box</td>
    <td>Probability of selecting a <strong>Green</strong> Box</td>
  </tr>
  <tr>
    <td>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <BR>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
    </td>
    <td>50</td>
    <td>50</td>
  </tr>
</tbody>
</table>
</p>

<!--cabinet 3-->
<p>
<table>
<thead>
  <tr>
    <th colspan="3">Cabinet 3</th>
  </tr>
</thead>
<tbody>
  <tr>
    <td>Boxes</td>
    <td>Probability of selecting a <strong>Yellow</strong> Box</td>
    <td>Probability of selecting a <strong>Green</strong> Box</td>
  </tr>
  <tr>
    <td>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <BR>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: yellow;
                border-color:black">
        Yellow Box
        </button>
        <button type="button"
            style="width: 60px; height: 60px;
                background-color: green;
                border-color:black">
        Green Box
        </button>
    </td>
    <td>90</td>
    <td>10</td>
  </tr>
</tbody>
</table>
</p>

<h3>Your Decisions for each Sample</h3>

<p>
    In each task, you must report two decisions for every sample:
</p>
<ol>
    <li>a guess on the probability the Yellow Box was selected </li>
    <li>a guess on the decision of another participant</li>
</ol>

<p>
    For example, the next table shows how you report your decisions for a sample of 1 yellow and 3 green marbles:
</p>

<p>
<table>
<thead>
  <tr>
    <th>Sample</th>
    <th>Number of <br>yellow marbles</th>
    <th>Number of <br>green marbles</th>
    <th>What is the probability <br>(in %)<br><strong>you</strong> believe <br>the Random box is Yellow? </th>
    <th>What is the probability <br>(in %)<br><strong>Participant 2</strong> believes <br>the Random box is Yellow?</th>
  </tr>
</thead>
<tbody>
  <tr>
    <td>
        <img src='https://upload.wikimedia.org/wikipedia/commons/a/a5/Wikisource_proofread_yellow.svg' width='30' height='30'/>
        <img src='https://upload.wikimedia.org/wikipedia/commons/8/89/Wikisource_proofread_green_circle.svg' width='30' height='30'/>
        <img src='https://upload.wikimedia.org/wikipedia/commons/8/89/Wikisource_proofread_green_circle.svg' width='30' height='30'/>
        <img src='https://upload.wikimedia.org/wikipedia/commons/8/89/Wikisource_proofread_green_circle.svg' width='30' height='30'/>
    </td>
    <td>1</td>
    <td>3</td>
    <td>
        Your Strategy:
    </td>
    <td>
        Expected Strategy for <strong>Participant 2:</strong>
    </td>
  </tr>
</tbody>
</table>
</p>

<p>
    The accuracy of your answers will determine your chances of getting up to $9 bonus.
    So, it is in your best interest to report the probability you think the Yellow Box was selected
    and what you expect Participant 2 would report.
    Consider carefully your strategies for each possible sample.
</p>

<h4>Box and Sample Selected at the End</h4>

<p>
  After you and Participant 2 reported your strategies in each task:
</p>

<ol>
    <li> The computer will randomly select a Yellow or Green box.</li>
    <li> From the box secretly selected,
        the computer will draw a sequence of {{C.N_size}} marbles,
        recording the color and <strong>replacing</strong> the marble in its box after each draw. </li>
    <li> The computer will apply the probabilities you stated before to determine your payoff. </li>
</ol>

<p>
    After you and Participant 2 have reported the strategies, the computer will use your strategy to determine your payment.
    The computer selects a Yellow or Green box with the probability in that task and generates a random sample from the selected Box.
    The strategy reported by you and Participant 2 will be implemented.
</p>

<p>
    The payoffs won't be revealed until the end of the experiment.
</p>

<p>
    Click the 'Next' button if the process to select the box is clear,
    or ask the experimenter if you have any questions.
</p>

<p>
    You will have to complete an understanding test in the next page.
</p>

    {{ formfields }}

    {{ next_button }}

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