diff --git a/LehrerApp.Desktop.Tests/RandomStudentPickerViewModelTests.cs b/LehrerApp.Desktop.Tests/RandomStudentPickerViewModelTests.cs
new file mode 100644
index 0000000..260f575
--- /dev/null
+++ b/LehrerApp.Desktop.Tests/RandomStudentPickerViewModelTests.cs
@@ -0,0 +1,89 @@
+using LehrerApp.Core.Models;
+using LehrerApp.Desktop.ViewModels.Groups;
+using Xunit;
+
+namespace LehrerApp.Desktop.Tests;
+
+public sealed class RandomStudentPickerViewModelTests
+{
+    private static (RandomStudentPickerViewModel Vm, List<Student> Students, LearningGroup Group) Build(int seed = 17)
+    {
+        var group = new LearningGroup { Name = "8a" };
+        var students = new List<Student>
+        {
+            new() { FirstName = "Anna", LastName = "Adler" },
+            new() { FirstName = "Ben", LastName = "Bauer" },
+            new() { FirstName = "Cem", LastName = "Can" },
+        };
+        var memberships = students.Select(s => new GroupMembership
+        {
+            GroupId = group.Id,
+            StudentId = s.Id,
+        }).ToList();
+        var vm = new RandomStudentPickerViewModel(
+            new FakeStudents(students), new FakeGroups([group]), new FakeMemberships(memberships),
+            new FakeSessions([]), new FakeEntries(), group.Id, new Random(seed));
+        return (vm, students, group);
+    }
+
+    [Fact]
+    public void Vollrunde_ZiehtAlleEinmal_BevorJemandWiederholtWird()
+    {
+        var (vm, _, _) = Build();
+        var names = new List<string>();
+
+        for (var i = 0; i < 3; i++)
+        {
+            vm.DrawCommand.Execute(null);
+            names.Add(vm.SelectedStudentName);
+        }
+
+        Assert.Equal(3, names.Distinct().Count());
+        Assert.Contains("Alle waren dran", vm.StatusText);
+    }
+
+    [Fact]
+    public void Reset_StartetZiehungOhneAngezeigtenNamenNeu()
+    {
+        var (vm, _, _) = Build();
+        vm.DrawCommand.Execute(null);
+
+        vm.ResetCommand.Execute(null);
+
+        Assert.False(vm.HasDrawnStudent);
+        Assert.Equal("Bereit?", vm.SelectedStudentName);
+    }
+
+    [Fact]
+    public void NurHeuteAktiveMitglieder_StehenZurAuswahl()
+    {
+        var group = new LearningGroup { Name = "8a" };
+        var active = new Student { FirstName = "Aktiv", LastName = "A" };
+        var former = new Student { FirstName = "Ehemalig", LastName = "E" };
+        var memberships = new List<GroupMembership>
+        {
+            new() { GroupId = group.Id, StudentId = active.Id },
+            new() { GroupId = group.Id, StudentId = former.Id, LeftAt = DateOnly.FromDateTime(DateTime.Today).AddDays(-1) },
+        };
+        var vm = new RandomStudentPickerViewModel(
+            new FakeStudents([active, former]), new FakeGroups([group]), new FakeMemberships(memberships),
+            new FakeSessions([]), new FakeEntries(), group.Id, new Random(1));
+
+        vm.DrawCommand.Execute(null);
+
+        Assert.Equal(active.FullName, vm.SelectedStudentName);
+    }
+
+    [Fact]
+    public void IntelligenteZiehung_VermeidetDirekteWiederholung()
+    {
+        var (vm, _, _) = Build(2);
+        vm.SelectionModeName = RandomStudentPickerViewModel.IntelligentLabel;
+        vm.DrawCommand.Execute(null);
+        var first = vm.SelectedStudentName;
+
+        vm.DrawCommand.Execute(null);
+
+        Assert.NotEqual(first, vm.SelectedStudentName);
+    }
+}
diff --git a/LehrerApp.Desktop/ViewModels/Groups/RandomStudentPickerViewModel.cs b/LehrerApp.Desktop/ViewModels/Groups/RandomStudentPickerViewModel.cs
new file mode 100644
index 0000000..9e7a07e
--- /dev/null
+++ b/LehrerApp.Desktop/ViewModels/Groups/RandomStudentPickerViewModel.cs
@@ -0,0 +1,200 @@
+using CommunityToolkit.Mvvm.ComponentModel;
+using CommunityToolkit.Mvvm.Input;
+using LehrerApp.Core.Interfaces;
+using LehrerApp.Core.Models;
+using LehrerApp.Core.Services;
+using System.Collections.ObjectModel;
+
+namespace LehrerApp.Desktop.ViewModels.Groups;
+
+public enum StudentDrawMode { FullRound, Intelligent }
+
+public sealed record StudentDrawGroup(Guid Id, string Name);
+
+/// <summary>
+/// Steuert das eigenstaendige Ziehfenster. Die Ziehhistorie ist bewusst nur fuer die Laufzeit
+/// des Fensters gueltig; es entstehen dadurch keine zusaetzlichen personenbezogenen Datensaetze.
+/// </summary>
+public partial class RandomStudentPickerViewModel : ObservableObject
+{
+    public const string FullRoundLabel = "Alle einmal, dann neu";
+    public const string IntelligentLabel = "Intelligent ausgleichen";
+
+    private readonly IStudentRepository _students;
+    private readonly IGroupMembershipRepository _memberships;
+    private readonly IParticipationSessionRepository _sessions;
+    private readonly IParticipationRepository _participation;
+    private readonly Random _random;
+    private readonly List<Student> _candidates = [];
+    private readonly List<Guid> _roundBag = [];
+    private readonly Dictionary<Guid, int> _drawCounts = [];
+    private readonly Dictionary<Guid, ParticipationSignal> _signals = [];
+    private Guid? _lastStudentId;
+
+    [ObservableProperty] private StudentDrawGroup? _selectedGroup;
+    [ObservableProperty] private string _selectionModeName = FullRoundLabel;
+    [ObservableProperty] private bool _considerParticipation = true;
+    [ObservableProperty] private string _selectedStudentName = "Bereit?";
+    [ObservableProperty] private string _statusText = "Wähle in den Optionen eine Lerngruppe.";
+    [ObservableProperty] private bool _hasDrawnStudent;
+
+    public ObservableCollection<StudentDrawGroup> Groups { get; } = [];
+    public string[] SelectionModeOptions { get; } = [FullRoundLabel, IntelligentLabel];
+    public bool IsIntelligent => SelectionModeName == IntelligentLabel;
+    public bool CanDraw => SelectedGroup is not null && _candidates.Count > 0;
+
+    public RandomStudentPickerViewModel(
+        IStudentRepository students,
+        IGroupRepository groups,
+        IGroupMembershipRepository memberships,
+        IParticipationSessionRepository sessions,
+        IParticipationRepository participation,
+        Guid? initialGroupId = null,
+        Random? random = null)
+    {
+        _students = students;
+        _memberships = memberships;
+        _sessions = sessions;
+        _participation = participation;
+        _random = random ?? Random.Shared;
+
+        foreach (var group in groups.GetAll().OrderBy(g => g.Name, StringComparer.CurrentCultureIgnoreCase))
+            Groups.Add(new StudentDrawGroup(group.Id, group.Name));
+
+        SelectedGroup = Groups.FirstOrDefault(g => g.Id == initialGroupId) ?? Groups.FirstOrDefault();
+    }
+
+    partial void OnSelectedGroupChanged(StudentDrawGroup? value) => ReloadGroup();
+
+    partial void OnSelectionModeNameChanged(string value)
+    {
+        OnPropertyChanged(nameof(IsIntelligent));
+        ResetDrawState();
+    }
+
+    partial void OnConsiderParticipationChanged(bool value) => ResetDrawState();
+
+    [RelayCommand(CanExecute = nameof(CanDraw))]
+    private void Draw()
+    {
+        var student = IsIntelligent ? DrawIntelligently() : DrawFromFullRound();
+        _drawCounts[student.Id] = _drawCounts.GetValueOrDefault(student.Id) + 1;
+        _lastStudentId = student.Id;
+        SelectedStudentName = student.FullName;
+        HasDrawnStudent = true;
+        UpdateStatus();
+    }
+
+    [RelayCommand]
+    private void Reset() => ResetDrawState();
+
+    private void ReloadGroup()
+    {
+        _candidates.Clear();
+        _signals.Clear();
+
+        if (SelectedGroup is not null)
+        {
+            var today = DateOnly.FromDateTime(DateTime.Today);
+            var activeIds = _memberships.GetByGroup(SelectedGroup.Id)
+                .Where(m => GroupMembershipService.IsActiveOn(m, today))
+                .Select(m => m.StudentId)
+                .ToHashSet();
+            _candidates.AddRange(_students.GetByGroup(SelectedGroup.Id)
+                .Where(s => s.IsActive && activeIds.Contains(s.Id))
+                .OrderBy(s => s.LastName, StringComparer.CurrentCultureIgnoreCase)
+                .ThenBy(s => s.FirstName, StringComparer.CurrentCultureIgnoreCase));
+            LoadParticipationSignals(SelectedGroup.Id);
+        }
+
+        ResetDrawState();
+        OnPropertyChanged(nameof(CanDraw));
+        DrawCommand.NotifyCanExecuteChanged();
+    }
+
+    private void LoadParticipationSignals(Guid groupId)
+    {
+        var sessionIds = _sessions.GetByGroup(groupId).Select(s => s.Id).ToList();
+        var entries = sessionIds.SelectMany(_participation.GetBySession).ToList();
+
+        foreach (var student in _candidates)
+        {
+            var own = entries.Where(e => e.StudentId == student.Id).ToList();
+            var activity = own.Sum(e => e.RaisedHandCount + e.CalledOnCount);
+            var values = own.SelectMany(e => e.Ratings).Select(r => Math.Clamp(r.Value, -2, 2)).ToList();
+            _signals[student.Id] = new ParticipationSignal(
+                activity,
+                values.Count == 0 ? null : values.Average());
+        }
+    }
+
+    private Student DrawFromFullRound()
+    {
+        if (_roundBag.Count == 0)
+        {
+            _roundBag.AddRange(_candidates.Select(s => s.Id));
+            for (var i = _roundBag.Count - 1; i > 0; i--)
+            {
+                var swap = _random.Next(i + 1);
+                (_roundBag[i], _roundBag[swap]) = (_roundBag[swap], _roundBag[i]);
+            }
+        }
+
+        var id = _roundBag[^1];
+        _roundBag.RemoveAt(_roundBag.Count - 1);
+        return _candidates.Single(s => s.Id == id);
+    }
+
+    private Student DrawIntelligently()
+    {
+        var maxActivity = Math.Max(1, _signals.Values.Select(s => s.Activity).DefaultIfEmpty().Max());
+        var eligible = _candidates.Count > 1
+            ? _candidates.Where(student => student.Id != _lastStudentId)
+            : _candidates;
+        var weighted = eligible.Select(student =>
+        {
+            var weight = 1.0 / (1.0 + 1.5 * _drawCounts.GetValueOrDefault(student.Id));
+            if (ConsiderParticipation && _signals.TryGetValue(student.Id, out var signal))
+            {
+                var activityRatio = signal.Activity / (double)maxActivity;
+                weight *= 1.65 - activityRatio; // wenig Aktive werden wahrscheinlicher gezogen
+                if (signal.AverageRating is { } rating)
+                    weight *= 1.0 - Math.Clamp(rating, -2, 2) * 0.175; // starke spaeter, schwache frueher
+            }
+            return (Student: student, Weight: Math.Max(0.01, weight));
+        }).ToList();
+
+        var point = _random.NextDouble() * weighted.Sum(x => x.Weight);
+        foreach (var item in weighted)
+        {
+            point -= item.Weight;
+            if (point <= 0) return item.Student;
+        }
+        return weighted[^1].Student;
+    }
+
+    private void ResetDrawState()
+    {
+        _roundBag.Clear();
+        _drawCounts.Clear();
+        _lastStudentId = null;
+        HasDrawnStudent = false;
+        SelectedStudentName = "Bereit?";
+        UpdateStatus();
+    }
+
+    private void UpdateStatus()
+    {
+        StatusText = _candidates.Count switch
+        {
+            0 when SelectedGroup is null => "Wähle in den Optionen eine Lerngruppe.",
+            0 => "In dieser Lerngruppe sind heute keine aktiven Schüler.",
+            _ when !HasDrawnStudent => $"{_candidates.Count} Schüler stehen zur Auswahl.",
+            _ when !IsIntelligent && _roundBag.Count == 0 => "Alle waren dran. Der nächste Zug startet eine neue Runde.",
+            _ when !IsIntelligent => $"Noch {_roundBag.Count} bis zur nächsten Runde.",
+            _ => "Nächste Ziehung bereit.",
+        };
+    }
+
+    private sealed record ParticipationSignal(int Activity, double? AverageRating);
+}
diff --git a/LehrerApp.Desktop/Views/Groups/RandomStudentPickerWindow.axaml b/LehrerApp.Desktop/Views/Groups/RandomStudentPickerWindow.axaml
new file mode 100644
index 0000000..a069c30
--- /dev/null
+++ b/LehrerApp.Desktop/Views/Groups/RandomStudentPickerWindow.axaml
@@ -0,0 +1,77 @@
+<Window xmlns="https://github.com/avaloniaui"
+        xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml"
+        xmlns:vm="clr-namespace:LehrerApp.Desktop.ViewModels.Groups"
+        x:Class="LehrerApp.Desktop.Views.Groups.RandomStudentPickerWindow"
+        x:DataType="vm:RandomStudentPickerViewModel"
+        Title="Schüler ziehen"
+        Width="430" MinHeight="390"
+        SizeToContent="Height"
+        CanResize="False"
+        WindowStartupLocation="CenterScreen">
+
+  <Grid RowDefinitions="Auto,*,Auto,Auto" Margin="24">
+    <Grid Grid.Row="0" ColumnDefinitions="*,Auto" Margin="0,0,0,18">
+      <StackPanel Spacing="3">
+        <TextBlock Text="Schüler ziehen" Classes="dialogtitle"/>
+        <TextBlock Text="Eigenständiges Fenster für die Bildschirmfreigabe"
+                   FontSize="12" Opacity="0.55"/>
+      </StackPanel>
+      <Button Grid.Column="1" Content="↺" Command="{Binding ResetCommand}"
+              ToolTip.Tip="Ziehung zurücksetzen" FontSize="18"
+              Width="38" Height="38"/>
+    </Grid>
+
+    <Border Grid.Row="1" x:Name="RevealCard"
+            MinHeight="190" Padding="24"
+            Background="{DynamicResource AppAccentSoftBackgroundBrush}"
+            BorderBrush="{DynamicResource AppFilterActiveBorderBrush}"
+            BorderThickness="1" CornerRadius="18">
+      <Border.Transitions>
+        <Transitions>
+          <DoubleTransition Property="Opacity" Duration="0:0:0.18"/>
+        </Transitions>
+      </Border.Transitions>
+      <StackPanel VerticalAlignment="Center" HorizontalAlignment="Center" Spacing="12">
+        <TextBlock Text="◆" HorizontalAlignment="Center" FontSize="20"
+                   Foreground="{DynamicResource AppAccentOnSoftBrush}"/>
+        <TextBlock Text="{Binding SelectedStudentName}"
+                   HorizontalAlignment="Center" TextAlignment="Center" TextWrapping="Wrap"
+                   FontSize="34" FontWeight="SemiBold"
+                   Foreground="{DynamicResource AppFilterActiveForegroundBrush}"/>
+        <TextBlock Text="{Binding StatusText}" HorizontalAlignment="Center"
+                   TextAlignment="Center" TextWrapping="Wrap" FontSize="12" Opacity="0.7"/>
+      </StackPanel>
+    </Border>
+
+    <Button Grid.Row="2" Content="🎲  Ziehen" x:Name="DrawButton"
+            IsEnabled="{Binding CanDraw}" Click="OnDraw"
+            HorizontalAlignment="Stretch" HorizontalContentAlignment="Center"
+            FontSize="18" FontWeight="SemiBold" Height="54" Margin="0,16,0,12"/>
+
+    <Expander Grid.Row="3" Header="Optionen" IsExpanded="False">
+      <StackPanel Spacing="10" Margin="0,10,0,0">
+        <TextBlock Text="Lerngruppe" FontSize="12" Opacity="0.7"/>
+        <ComboBox ItemsSource="{Binding Groups}" SelectedItem="{Binding SelectedGroup}"
+                  HorizontalAlignment="Stretch">
+          <ComboBox.ItemTemplate>
+            <DataTemplate x:DataType="vm:StudentDrawGroup">
+              <TextBlock Text="{Binding Name}"/>
+            </DataTemplate>
+          </ComboBox.ItemTemplate>
+        </ComboBox>
+
+        <TextBlock Text="Auswahlart" FontSize="12" Opacity="0.7" Margin="0,4,0,0"/>
+        <ComboBox ItemsSource="{Binding SelectionModeOptions}"
+                  SelectedItem="{Binding SelectionModeName}"
+                  HorizontalAlignment="Stretch"/>
+
+        <CheckBox Content="Mündliche Mitarbeit berücksichtigen"
+                  IsChecked="{Binding ConsiderParticipation}"
+                  IsEnabled="{Binding IsIntelligent}" Margin="0,4,0,0"/>
+        <TextBlock Text="Wenig aktive oder bislang schwächere Schüler werden wahrscheinlicher gezogen; direkte Wiederholungen werden vermieden."
+                   IsVisible="{Binding IsIntelligent}" TextWrapping="Wrap"
+                   FontSize="11" Opacity="0.55"/>
+      </StackPanel>
+    </Expander>
+  </Grid>
+</Window>
diff --git a/LehrerApp.Desktop/Views/Groups/RandomStudentPickerWindow.axaml.cs b/LehrerApp.Desktop/Views/Groups/RandomStudentPickerWindow.axaml.cs
new file mode 100644
index 0000000..cd9d265
--- /dev/null
+++ b/LehrerApp.Desktop/Views/Groups/RandomStudentPickerWindow.axaml.cs
@@ -0,0 +1,26 @@
+using Avalonia.Controls;
+using Avalonia.Interactivity;
+using LehrerApp.Desktop.ViewModels.Groups;
+
+namespace LehrerApp.Desktop.Views.Groups;
+
+public partial class RandomStudentPickerWindow : Window
+{
+    private bool _isAnimating;
+
+    public RandomStudentPickerWindow() => InitializeComponent();
+
+    private async void OnDraw(object? sender, RoutedEventArgs e)
+    {
+        if (_isAnimating || DataContext is not RandomStudentPickerViewModel vm ||
+            !vm.DrawCommand.CanExecute(null)) return;
+
+        _isAnimating = true;
+        var card = this.FindControl<Border>("RevealCard");
+        if (card is not null) card.Opacity = 0.15;
+        await Task.Delay(150);
+        vm.DrawCommand.Execute(null);
+        if (card is not null) card.Opacity = 1;
+        _isAnimating = false;
+    }
+}
diff --git a/LehrerApp.Desktop/Views/MainWindow.axaml b/LehrerApp.Desktop/Views/MainWindow.axaml
index e3e9ddb..de24336 100644
--- a/LehrerApp.Desktop/Views/MainWindow.axaml
+++ b/LehrerApp.Desktop/Views/MainWindow.axaml
@@ -46,6 +46,9 @@
                   IsEnabled="{Binding CanPersonalizeWorksheet}"
                   ToolTip.Tip="Nur verfügbar, während eine einzelne Lerngruppe geöffnet ist"/>
       </MenuItem>
+      <MenuItem Header="Unterricht">
+        <MenuItem Header="Schüler ziehen…" Click="OnOpenRandomStudentPicker"/>
+      </MenuItem>
     </Menu>
   <DrawerPage x:Name="RootDrawer"
               DrawerLength="220"
diff --git a/LehrerApp.Desktop/Views/MainWindow.axaml.cs b/LehrerApp.Desktop/Views/MainWindow.axaml.cs
index a7b7aa6..5926092 100644
--- a/LehrerApp.Desktop/Views/MainWindow.axaml.cs
+++ b/LehrerApp.Desktop/Views/MainWindow.axaml.cs
@@ -22,6 +22,7 @@ public partial class MainWindow : Window
     private SyncEngine? _syncEngine;
     private bool _finalSyncStarted;
     private bool _closeAfterFinalSync;
+    private RandomStudentPickerWindow? _randomStudentPickerWindow;
 
     public MainWindow()
     {
@@ -71,6 +72,27 @@ public partial class MainWindow : Window
         await new PersonalizeWorksheetDialog { DataContext = dialogVm }.ShowDialog(this);
     }
 
+    private void OnOpenRandomStudentPicker(object? sender, Avalonia.Interactivity.RoutedEventArgs e)
+    {
+        if (_randomStudentPickerWindow is not null)
+        {
+            _randomStudentPickerWindow.Activate();
+            return;
+        }
+
+        var currentGroupId = (DataContext as MainWindowViewModel)?.CurrentGroupDetail?.Group?.Id;
+        var vm = new RandomStudentPickerViewModel(
+            App.Services.GetRequiredService<IStudentRepository>(),
+            App.Services.GetRequiredService<IGroupRepository>(),
+            App.Services.GetRequiredService<IGroupMembershipRepository>(),
+            App.Services.GetRequiredService<IParticipationSessionRepository>(),
+            App.Services.GetRequiredService<IParticipationRepository>(),
+            currentGroupId);
+        _randomStudentPickerWindow = new RandomStudentPickerWindow { DataContext = vm };
+        _randomStudentPickerWindow.Closed += (_, _) => _randomStudentPickerWindow = null;
+        _randomStudentPickerWindow.Show();
+    }
+
     private void OnWindowKeyDown(object? sender, KeyEventArgs e)
     {
         if (DataContext is not MainWindowViewModel vm) return;
diff --git a/TODO.md b/TODO.md
index 4c32d14..61450b1 100644
--- a/TODO.md
+++ b/TODO.md
@@ -3682,6 +3682,15 @@ Hinweis in Kapitel 1 — betrifft auch Kurse, nicht nur Klassen.
       `SeatingPlanViewModelTests.ShuffleSeats_ErzeugtNeuenPlanMitVertauschtenPlaetzenUndBehaeltDenUrsprungsplan`
       plus ein `CanExecute`-Test für die Bearbeitungsmodus-Sperre.
 
+- [x] **7.1.6** Eigenständiges Fenster „Schüler ziehen“ im Menü Unterricht. Das Fenster ist
+      nicht modal und kann separat in einer Bildschirmfreigabe gezeigt werden; außerhalb der
+      eingeklappten Optionen zeigt es nur den aktuell gezogenen Namen. Auswahl wahlweise als
+      vollständige, zufällig gemischte Runde ohne Wiederholung oder intelligent gewichtet.
+      Optional fließen vorhandene Mitarbeitsdaten ein: selten aktive und bislang schwächere
+      Schüler erhalten ein höheres Gewicht, häufig aktive bzw. starke ein niedrigeres; direkte
+      Wiederholungen werden vermieden. Die Ziehhistorie bleibt rein im Arbeitsspeicher und wird
+      beim Schließen oder Zurücksetzen verworfen.
+
 ### 7.2 Gruppen
 - [x] **7.2.1** Gruppe bearbeiten und löschen — bereits vorhanden (`EditGroupCommand`/`DeleteGroupCommand`/
       `ToggleArchiveCommand` in `GroupListViewModel`), nicht Teil der aktuellen Klausuren-Arbeit,