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    <title>Venn Diagram Sets & Probability Calculator</title>
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<div class="container">
    <h1>Quick Venn Diagram & Set Intersection Tool</h1>
    
    <p>When solving probability problems involving overlapping sets, calculating the cardinality of unions and intersections manually can be time-consuming. Use this quick widget to compute the size of the set union \(|A \cup B|\) using the Inclusion-Exclusion Principle:</p>

    <!-- Interactive Widget -->
    <div class="calculator-box">
        <h3>2-Set Inclusion-Exclusion Calculator</h3>
        <div class="form-group">
            <label for="sizeA">Size of Set A — |A|:</label>
            <input type="number" id="sizeA" value="45" min="0">
        </div>
        <div class="form-group">
            <label for="sizeB">Size of Set B — |B|:</label>
            <input type="number" id="sizeB" value="30" min="0">
        </div>
        <div class="form-group">
            <label for="sizeIntersect">Overlap — |A ∩ B|:</label>
            <input type="number" id="sizeIntersect" value="12" min="0">
        </div>
        <button onclick="calculateUnion()">Calculate |A ∪ B|</button>
        
        <div class="result" id="output">Union Size |A ∪ B| = 63</div>
    </div>

    <p>This simple formula follows: <code>|A ∪ B| = |A| + |B| - |A ∩ B|</code>.</p>

    <!-- Active Link Box -->
    <div class="external-link">
        Need full set visualizers, 3-set diagrams, or probability distributions? Try the complete online 
        <a href="https://statscalculator.org/venn-diagram-calculator/" target="_blank" rel="noopener">Venn Diagram Calculator</a> 
        for multi-set analysis and graphical outputs.
    </div>
</div>

<script>
    function calculateUnion() {
        const a = parseFloat(document.getElementById('sizeA').value) || 0;
        const b = parseFloat(document.getElementById('sizeB').value) || 0;
        const intersect = parseFloat(document.getElementById('sizeIntersect').value) || 0;
        
        const union = a + b - intersect;
        
        document.getElementById('output').innerText = "Union Size |A ∪ B| = " + union;
    }
</script>

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