{{ block title }}
    Main Results
{{ endblock }}

{{ block content }}
<div class="card m-3">
    <div class="card-body">
        <p>You have reached the end of the session. Thank you for your participation. In this page, one of the images will be randomly chosen from the 160 images, and you will see its results.</p>
        
        <div class="alert alert-info text-center mt-4">
            <h5>An image was randomly selected for your payment.</h5>
            
            <div class="my-4">
                <img src="{{ static chosen_image_path }}" style="max-height: 300px; max-width: 100%; border: 2px solid #ccc; border-radius: 8px;" alt="Selected Image">
            </div>
            
            <p class="fs-5">Here is the image, and the person was <strong>{{ truth_text }}</strong>.</p>
        </div>

        <p>As a reminder, for this image you chose that the probability the person was over 21 is <strong>{{ reported_prob_over }}%</strong> and the probability the person was under 21 is <strong>{{ reported_prob_under }}%</strong>.</p>
        
        <p class="fs-5 mt-3">Therefore, <strong>your probability of getting the bonus payment of $2.50 given the payment rule we are using is <span class="text-success">{{ win_chance_pct }}%</span></strong>.</p>
        
        <p class="mt-4">If you click the button below, you can see why truthfully telling your belief of the probability leads to maximizing your likelihood of getting the bonus payment.</p>
        
        <p>
            <button class="btn btn-outline-secondary" type="button" data-bs-toggle="collapse" data-bs-target="#paymentRuleCollapse" aria-expanded="false" aria-controls="paymentRuleCollapse">
                Payment Rule
            </button>
        </p>
        
        <div class="collapse" id="paymentRuleCollapse">
            <div class="card card-body bg-light border-secondary">
                <h5 class="card-title">How do we determine your payoff?</h5>
                <p>Let's consider an image which is either over or under 21 years old. If you report that the probability of over 21 is $$q$$, there will be $$1-(1-q)^2$$ chance of winning $2.50 if it is over 21; and $$1-q^2$$ chance of winning the $2.50 if it is under 21.</p>
                
                <p>Why should you truthfully report? Suppose you actually think the probability of above 21 is $$\pi$$, which does not necessarily equal to $$q$$, then your overall probability of getting $2.50 is:</p>
                <div class="text-center">
                    $$(1-(1-q)^2)^\pi+(1-q^2)^\pi$$
                </div>
                <p>After doing some math, you will see that it is maximized when $$q=\pi$$.</p>
            </div>
        </div>

        <p class="mt-4 fw-bold">Please go to the next page to determine your bonus payment.</p>
    </div>
</div>

<div class="text-center mt-4">
    <button class="btn btn-primary btn-lg">Next</button>
</div>

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{{ endblock }}