diff --git a/tests/browser/lobby.test.js b/tests/browser/lobby.test.js
index 19098cb8..a9f00ed7 100644
--- a/tests/browser/lobby.test.js
+++ b/tests/browser/lobby.test.js
@@ -1516,7 +1516,10 @@ lobbyTest(
     const title = await page
       .locator(`[data-problem="${first.card}"] .problem-title`)
       .textContent();
-    assert.equal(first.note, `Selected problem: ${title}.`);
+    assert.equal(
+      first.note,
+      `Selected problem: ${title} (${(await cardInfo(page, first.card)).level}).`,
+    );
     assert.equal(first.card, eligible[1]);
     assert.deepEqual(first.levels, ["Medium", "Hard"]);
     assert.equal(first.duration, "60");
@@ -1700,9 +1703,12 @@ for (const first of [0, 1]) {
       await page.click(`[data-problem="${MEDIUM[1]}"]`);
       assert.equal((await snapshot(page)).card, MEDIUM[1]);
       await page.click("#random-problem");
-      assert.equal((await snapshot(page)).card, MEDIUM[0]);
+      const drawn = await snapshot(page);
+      assert.notEqual(drawn.card, MEDIUM[1]);
+      assert.equal((await cardInfo(page, drawn.card)).level, "Medium");
+      assert.doesNotMatch(drawn.note, /Review due/);
       await page.click("#random-problem");
-      assert.notEqual((await snapshot(page)).card, MEDIUM[0]);
+      assert.notEqual((await snapshot(page)).card, drawn.card);
     },
   );
 }
@@ -4588,3 +4594,57 @@ lobbyTest(
     }
   },
 );
+
+lobbyTest(
+  "a difficulty change from a fresh lobby retains review priority",
+  async (page) => {
+    reports = [savedAttempt(EASY[0]), savedAttempt(EASY[1])];
+    const initial = await lobby(page);
+    assert.deepEqual(initial.levels, ["Medium"]);
+    assert.equal((await cardInfo(page, initial.card)).level, "Easy");
+    assert.match(initial.note, /Review due/);
+    await page.evaluate(() => {
+      Math.random = () => 0;
+    });
+    await setLevel(page, "Hard", true);
+    await setLevel(page, "Medium", false);
+    const changed = await snapshot(page);
+    assert.deepEqual(changed.levels, ["Hard"]);
+    assert.ok(EASY.includes(changed.card));
+    assert.match(changed.note, /Review due/);
+    assert.equal((await cardInfo(page, changed.card)).hidden, false);
+  },
+);
+
+lobbyTest(
+  "a topic change after a random draw restores review priority",
+  async (page) => {
+    const due = pageOf("valid-parentheses");
+    reports = [savedAttempt(due)];
+    await lobby(page);
+    await page.click("#random-problem");
+    assert.doesNotMatch((await snapshot(page)).note, /Review due/);
+    await openTopicFilter(page);
+    await page.selectOption("#problem-topic", "Array");
+    const changed = await snapshot(page);
+    assert.equal(changed.card, due);
+    assert.match(changed.note, /Review due/);
+    assert.equal((await cardInfo(page, due)).hidden, false);
+  },
+);
+
+lobbyTest(
+  "an explicit random draw escapes overdue reviews at the selected level",
+  async (page) => {
+    reports = [savedAttempt(EASY[0]), savedAttempt(EASY[1])];
+    const initial = await lobby(page);
+    assert.match(initial.note, /Review due/);
+    await page.evaluate(() => {
+      Math.random = () => 0;
+    });
+    await page.click("#random-problem");
+    const drawn = await snapshot(page);
+    assert.equal((await cardInfo(page, drawn.card)).level, "Medium");
+    assert.doesNotMatch(drawn.note, /Review due/);
+  },
+);
diff --git a/tests/browser/problem-picker.test.js b/tests/browser/problem-picker.test.js
index 7cbdebb5..ce16a296 100644
--- a/tests/browser/problem-picker.test.js
+++ b/tests/browser/problem-picker.test.js
@@ -25,6 +25,52 @@ const completed = (problemId, at) => ({
 const first = () => 0;
 const day = 24 * 60 * 60 * 1000;
 
+test("explicit random draws reach every eligible problem despite overdue reviews", () => {
+  const problems = [
+    { id: "due-a", difficulty: "Easy" },
+    { id: "due-b", difficulty: "Easy" },
+    { id: "unseen", difficulty: "Easy" },
+    { id: "outside", difficulty: "Hard" },
+  ];
+  const reports = ["due-a", "due-b", "outside"].map((id) => completed(id, 0));
+  for (const avoid of [undefined, "due-a", "due-b", "unseen"]) {
+    const expected = problems.filter(
+      (problem) => problem.difficulty === "Easy" && problem.id !== avoid,
+    );
+    for (let index = 0; index < expected.length; index++) {
+      const choice = pickProblem(
+        problems,
+        new Set(["Easy"]),
+        reports,
+        () => (index + 0.5) / expected.length,
+        10 * day,
+        avoid,
+        undefined,
+        "random",
+      );
+      assert.equal(choice.picked.id, expected[index].id);
+      assert.equal(choice.review, null);
+      assert.equal(choice.repeat, false);
+    }
+  }
+});
+
+test("explicit random draws retain a sole eligible problem and respect empty filters", () => {
+  const draw = (levels) =>
+    pickProblem(
+      bank,
+      new Set(levels),
+      [completed("passed", 0)],
+      first,
+      10 * day,
+      "medium",
+      undefined,
+      "random",
+    );
+  assert.equal(draw(["Medium"]).picked.id, "medium");
+  assert.equal(draw([]), null);
+});
+
 test("a problem already passed is not what gets recommended next", () => {
   const choice = pickProblem(bank, new Set(["Easy"]), [hired("passed")], first);
   assert.equal(choice.picked.id, "fresh");
@@ -614,3 +660,21 @@ test("the interview reads the focus from session storage, never from its address
   assert.match(source, /practiceFocus: consumeSharedFocus\(tabStorage\)/);
   assert.match(source, /const tabStorage = storageArea\("sessionStorage"\);/);
 });
+
+test("random draws respect narrowed practice while reviews keep their broader pool", () => {
+  const reports = [completed("passed", 0)];
+  const practice = bank.filter((problem) => problem.id === "fresh");
+  const draw = (mode) =>
+    pickProblem(
+      practice,
+      new Set(["Easy"]),
+      reports,
+      first,
+      10 * day,
+      undefined,
+      bank,
+      mode,
+    );
+  assert.equal(draw("recommend").picked.id, "passed");
+  assert.equal(draw("random").picked.id, "fresh");
+});
diff --git a/web/app.js b/web/app.js
index f2d01a89..ac25a5f4 100644
--- a/web/app.js
+++ b/web/app.js
@@ -254,7 +254,7 @@ nodes.randomProblem.addEventListener("click", () => {
   roll = Math.random();
   avoidedProblem = problem?.id;
   applyDifficulties();
-  recommend();
+  recommend("", "random");
 });
 
 for (const input of levels) {
@@ -1029,7 +1029,7 @@ function filterSelectionChanged() {
 
 /// `note` is the sentence explaining a level the reports chose, empty when the
 /// candidate chose it themselves and so already knows.
-function recommend(note = "") {
+function recommend(note = "", mode = "recommend") {
   // A candidate who picked a card has answered the question this line asks, so
   // it stays answered. Naming a different problem here contradicted the card
   // they had just selected. A kept draw stands the same way until `settle`
@@ -1043,6 +1043,7 @@ function recommend(note = "") {
     undefined,
     avoidedProblem,
     cards,
+    mode,
   );
   // Nothing to offer is still an answer, and it has to go through `setProblem`
   // like every other one. Returning here left whatever was picked for the
@@ -1054,6 +1055,11 @@ function recommend(note = "") {
     return;
   }
   setProblem(choice.picked);
+  // A random draw names the level rather than a review interval or streak.
+  if (mode === "random") {
+    nodes.recommendation.textContent = `${note}Selected problem: ${title(choice.picked)} (${choice.picked.difficulty}).`;
+    return;
+  }
   if (choice.review) {
     // A review can fall outside the levels now selected, so the card is
     // unhidden and the level said out loud rather than silently ignored.
diff --git a/web/problem-picker.js b/web/problem-picker.js
index 7c658570..792382dd 100644
--- a/web/problem-picker.js
+++ b/web/problem-picker.js
@@ -149,6 +149,8 @@ function step(level, by) {
 /// An explicit redraw avoids the current problem whenever another is available.
 /// `reviewProblems` stays broader than `problems` when an opt-in filter narrows
 /// new practice: a due review remains the first priority across those filters.
+/// `random` mode draws uniformly from the selected levels instead of giving
+/// overdue reviews or unseen problems priority.
 export function pickProblem(
   problems,
   difficulties,
@@ -157,10 +159,19 @@ export function pickProblem(
   now = Date.now(),
   avoid,
   reviewProblems = problems,
+  mode = "recommend",
 ) {
   const eligible = problems.filter((problem) =>
     difficulties.has(problem.difficulty),
   );
+  // Explicit random draws give every problem at the selected levels a chance,
+  // regardless of its attempt history or review schedule.
+  if (mode === "random") {
+    const alternatives = eligible.filter((problem) => problem.id !== avoid);
+    const choices = alternatives.length ? alternatives : eligible;
+    const picked = choices[Math.floor(random() * choices.length)];
+    return picked ? { picked, repeat: false, review: null } : null;
+  }
   const reportList = Array.isArray(reports) ? reports : [];
   const reviews = reviewStatus(reportList, now);
   const passed = new Set(