diff --git a/bin/auto-sync.txt b/bin/auto-sync.txt
index 16e02841..2b448126 100644
--- a/bin/auto-sync.txt
+++ b/bin/auto-sync.txt
@@ -6,6 +6,7 @@ alphametics
 anagram
 armstrong-numbers
 atbash-cipher
+baffling-birthdays
 bank-account
 binary-search
 binary-search-tree
diff --git a/config.json b/config.json
index 3268f8fc..60f6d73a 100644
--- a/config.json
+++ b/config.json
@@ -212,6 +212,14 @@
           "transforming"
         ]
       },
+      {
+        "slug": "baffling-birthdays",
+        "name": "Baffling Birthdays",
+        "uuid": "0854014f-e678-4844-9c39-55997fff1d07",
+        "practices": [],
+        "prerequisites": [],
+        "difficulty": 1
+      },
       {
         "slug": "beer-song",
         "name": "Beer Song",
diff --git a/exercises/practice/baffling-birthdays/.docs/instructions.md b/exercises/practice/baffling-birthdays/.docs/instructions.md
new file mode 100644
index 00000000..a01ec867
--- /dev/null
+++ b/exercises/practice/baffling-birthdays/.docs/instructions.md
@@ -0,0 +1,23 @@
+# Instructions
+
+Your task is to estimate the birthday paradox's probabilities.
+
+To do this, you need to:
+
+- Generate random birthdates.
+- Check if a collection of randomly generated birthdates contains at least two with the same birthday.
+- Estimate the probability that at least two people in a group share the same birthday for different group sizes.
+
+~~~~exercism/note
+A birthdate includes the full date of birth (year, month, and day), whereas a birthday refers only to the month and day, which repeat each year.
+Two birthdates with the same month and day correspond to the same birthday.
+~~~~
+
+~~~~exercism/caution
+The birthday paradox assumes that:
+
+- There are 365 possible birthdays (no leap years).
+- Each birthday is equally likely (uniform distribution).
+
+Your implementation must follow these assumptions.
+~~~~
diff --git a/exercises/practice/baffling-birthdays/.docs/introduction.md b/exercises/practice/baffling-birthdays/.docs/introduction.md
new file mode 100644
index 00000000..97dabd1e
--- /dev/null
+++ b/exercises/practice/baffling-birthdays/.docs/introduction.md
@@ -0,0 +1,25 @@
+# Introduction
+
+Fresh out of college, you're throwing a huge party to celebrate with friends and family.
+Over 70 people have shown up, including your mildly eccentric Uncle Ted.
+
+In one of his usual antics, he bets you £100 that at least two people in the room share the same birthday.
+That sounds ridiculous — there are many more possible birthdays than there are guests, so you confidently accept.
+
+To your astonishment, after collecting the birthdays of just 32 guests, you've already found two guests that share the same birthday.
+Accepting your loss, you hand Uncle Ted his £100, but something feels off.
+
+The next day, curiosity gets the better of you.
+A quick web search leads you to the [birthday paradox][birthday-problem], which reveals that with just 23 people, the probability of a shared birthday exceeds 50%.
+
+Ah. So _that's_ why Uncle Ted was so confident.
+
+Determined to turn the tables, you start looking up other paradoxes; next time, _you'll_ be the one making the bets.
+
+~~~~exercism/note
+The birthday paradox is a [veridical paradox][veridical-paradox]: even though it feels wrong, it is actually true.
+
+[veridical-paradox]: https://en.wikipedia.org/wiki/Paradox#Quine's_classification
+~~~~
+
+[birthday-problem]: https://en.wikipedia.org/wiki/Birthday_problem
diff --git a/exercises/practice/baffling-birthdays/.meta/config.json b/exercises/practice/baffling-birthdays/.meta/config.json
new file mode 100644
index 00000000..092a993f
--- /dev/null
+++ b/exercises/practice/baffling-birthdays/.meta/config.json
@@ -0,0 +1,19 @@
+{
+  "authors": [
+    "resu-xuniL"
+  ],
+  "files": {
+    "solution": [
+      "BafflingBirthdays.php"
+    ],
+    "test": [
+      "BafflingBirthdaysTest.php"
+    ],
+    "example": [
+      ".meta/example.php"
+    ]
+  },
+  "blurb": "Estimate the birthday paradox's probabilities.",
+  "source": "Erik Schierboom",
+  "source_url": "https://github.com/exercism/problem-specifications/pull/2539"
+}
diff --git a/exercises/practice/baffling-birthdays/.meta/example.php b/exercises/practice/baffling-birthdays/.meta/example.php
new file mode 100644
index 00000000..b22136ab
--- /dev/null
+++ b/exercises/practice/baffling-birthdays/.meta/example.php
@@ -0,0 +1,60 @@
+<?php
+
+declare(strict_types=1);
+
+class BafflingBirthdays
+{
+    public function sharedBirthday(array $birthdates): bool
+    {
+        $shared = [];
+
+        foreach ($birthdates as $birthdate) {
+            $birthday = substr($birthdate, -5);
+
+            if (isset($shared[$birthday])) {
+                return true;
+            }
+
+            $shared[$birthday] = true;
+        }
+
+        return false;
+    }
+
+    public function randomBirthdates(int $number): array
+    {
+        $birthdates = [];
+        $actualYear = (int) (new DateTime('now'))->format('Y');
+
+        for ($i = 0; $i < $number; $i++) {
+            $randomYear = rand(1900, $actualYear);
+
+            if ($randomYear % 400 == 0 || ($randomYear % 4 == 0 && $randomYear % 100 != 0)) {
+                $randomYear = $randomYear + 1;
+            }
+
+            $birthdates[] = (new DateTime())
+                ->setDate(
+                    $randomYear,
+                    rand(1, 12),
+                    rand(1, 31),
+                )
+                ->format("Y-m-d")
+            ;
+        }
+
+        return $birthdates;
+    }
+
+    public function estimatedProbabilityOfSharedBirthday(int $groupSize): float
+    {
+        $runs  = 10000;
+        $count = 0;
+
+        for ($i = 0; $i <= $runs; $i++) {
+            $count += $this->sharedBirthday($this->randomBirthdates($groupSize));
+        }
+
+        return ($count * 100) / $runs;
+    }
+}
diff --git a/exercises/practice/baffling-birthdays/.meta/tests.toml b/exercises/practice/baffling-birthdays/.meta/tests.toml
new file mode 100644
index 00000000..c76afb46
--- /dev/null
+++ b/exercises/practice/baffling-birthdays/.meta/tests.toml
@@ -0,0 +1,61 @@
+# This is an auto-generated file.
+#
+# Regenerating this file via `configlet sync` will:
+# - Recreate every `description` key/value pair
+# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
+# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
+# - Preserve any other key/value pair
+#
+# As user-added comments (using the # character) will be removed when this file
+# is regenerated, comments can be added via a `comment` key.
+
+[716dcc2b-8fe4-4fc9-8c48-cbe70d8e6b67]
+description = "shared birthday -> one birthdate"
+
+[f7b3eb26-bcfc-4c1e-a2de-af07afc33f45]
+description = "shared birthday -> two birthdates with same year, month, and day"
+
+[7193409a-6e16-4bcb-b4cc-9ffe55f79b25]
+description = "shared birthday -> two birthdates with same year and month, but different day"
+
+[d04db648-121b-4b72-93e8-d7d2dced4495]
+description = "shared birthday -> two birthdates with same month and day, but different year"
+
+[3c8bd0f0-14c6-4d4c-975a-4c636bfdc233]
+description = "shared birthday -> two birthdates with same year, but different month and day"
+
+[df5daba6-0879-4480-883c-e855c99cdaa3]
+description = "shared birthday -> two birthdates with different year, month, and day"
+
+[0c17b220-cbb9-4bd7-872f-373044c7b406]
+description = "shared birthday -> multiple birthdates without shared birthday"
+
+[966d6b0b-5c0a-4b8c-bc2d-64939ada49f8]
+description = "shared birthday -> multiple birthdates with one shared birthday"
+
+[b7937d28-403b-4500-acce-4d9fe3a9620d]
+description = "shared birthday -> multiple birthdates with more than one shared birthday"
+
+[70b38cea-d234-4697-b146-7d130cd4ee12]
+description = "random birthdates -> generate requested number of birthdates"
+
+[d9d5b7d3-5fea-4752-b9c1-3fcd176d1b03]
+description = "random birthdates -> years are not leap years"
+
+[d1074327-f68c-4c8a-b0ff-e3730d0f0521]
+description = "random birthdates -> months are random"
+
+[7df706b3-c3f5-471d-9563-23a4d0577940]
+description = "random birthdates -> days are random"
+
+[89a462a4-4265-4912-9506-fb027913f221]
+description = "estimated probability of at least one shared birthday -> for one person"
+
+[ec31c787-0ebb-4548-970c-5dcb4eadfb5f]
+description = "estimated probability of at least one shared birthday -> among ten people"
+
+[b548afac-a451-46a3-9bb0-cb1f60c48e2f]
+description = "estimated probability of at least one shared birthday -> among twenty-three people"
+
+[e43e6b9d-d77b-4f6c-a960-0fc0129a0bc5]
+description = "estimated probability of at least one shared birthday -> among seventy people"
diff --git a/exercises/practice/baffling-birthdays/BafflingBirthdays.php b/exercises/practice/baffling-birthdays/BafflingBirthdays.php
new file mode 100644
index 00000000..63be18c5
--- /dev/null
+++ b/exercises/practice/baffling-birthdays/BafflingBirthdays.php
@@ -0,0 +1,43 @@
+<?php
+
+/*
+ * By adding type hints and enabling strict type checking, code can become
+ * easier to read, self-documenting and reduce the number of potential bugs.
+ * By default, type declarations are non-strict, which means they will attempt
+ * to change the original type to match the type specified by the
+ * type-declaration.
+ *
+ * In other words, if you pass a string to a function requiring a float,
+ * it will attempt to convert the string value to a float.
+ *
+ * To enable strict mode, a single declare directive must be placed at the top
+ * of the file.
+ * This means that the strictness of typing is configured on a per-file basis.
+ * This directive not only affects the type declarations of parameters, but also
+ * a function's return type.
+ *
+ * For more info review the Concept on strict type checking in the PHP track
+ * <link>.
+ *
+ * To disable strict typing, comment out the directive below.
+ */
+
+declare(strict_types=1);
+
+class BafflingBirthdays
+{
+    public function sharedBirthday(array $birthdates): bool
+    {
+        throw new \BadMethodCallException(sprintf('Implement the %s method', __FUNCTION__));
+    }
+
+    public function randomBirthdates(): bool
+    {
+        throw new \BadMethodCallException(sprintf('Implement the %s method', __FUNCTION__));
+    }
+
+    public function estimatedProbabilityOfSharedBirthday(int $groupSize): float
+    {
+        throw new \BadMethodCallException(sprintf('Implement the %s method', __FUNCTION__));
+    }
+}
diff --git a/exercises/practice/baffling-birthdays/BafflingBirthdaysTest.php b/exercises/practice/baffling-birthdays/BafflingBirthdaysTest.php
new file mode 100644
index 00000000..95f97bc7
--- /dev/null
+++ b/exercises/practice/baffling-birthdays/BafflingBirthdaysTest.php
@@ -0,0 +1,255 @@
+<?php
+
+declare(strict_types=1);
+
+use PHPUnit\Framework\TestCase;
+use PHPUnit\Framework\Attributes\TestDox;
+
+class BafflingBirthdaysTest extends TestCase
+{
+    public static function setUpBeforeClass(): void
+    {
+        require_once 'BafflingBirthdays.php';
+    }
+
+    /**
+     * uuid: 716dcc2b-8fe4-4fc9-8c48-cbe70d8e6b67
+     */
+    #[TestDox('shared birthday -> one birthdate')]
+    public function testSharedBirthdayOneBirthdate(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertFalse($birthdays->sharedBirthday(["2000-01-01"]));
+    }
+
+    /**
+     * uuid: f7b3eb26-bcfc-4c1e-a2de-af07afc33f45
+     */
+    #[TestDox('shared birthday -> two birthdates with same year, month, and day')]
+    public function testSharedBirthdayTwoBirthdatesWithSameYearMonthAndDay(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertTrue($birthdays->sharedBirthday(["2000-01-01", "2000-01-01"]));
+    }
+
+    /**
+     * uuid: 7193409a-6e16-4bcb-b4cc-9ffe55f79b25
+     */
+    #[TestDox('shared birthday -> two birthdates with same year and month, but different day')]
+    public function testSharedBirthdayTwoBirthdatesWithSameYearAndMonthButDifferentDay(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertFalse($birthdays->sharedBirthday(["2012-05-09", "2012-05-17"]));
+    }
+
+    /**
+     * uuid: d04db648-121b-4b72-93e8-d7d2dced4495
+     */
+    #[TestDox('shared birthday -> two birthdates with same month and day, but different year')]
+    public function testSharedBirthdayTwoBirthdatesWithSameMonthAndDayButDifferentYear(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertTrue($birthdays->sharedBirthday(["1999-10-23", "1988-10-23"]));
+    }
+
+    /**
+     * uuid: 3c8bd0f0-14c6-4d4c-975a-4c636bfdc233
+     */
+    #[TestDox('shared birthday -> two birthdates with same year, but different month and day')]
+    public function testSharedBirthdayTwoBirthdatesWithSameYearButDifferentMonthAndDay(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertFalse($birthdays->sharedBirthday(["2007-12-19", "2007-04-27"]));
+    }
+
+    /**
+     * uuid: df5daba6-0879-4480-883c-e855c99cdaa3
+     */
+    #[TestDox('shared birthday -> two birthdates with different year, month, and day')]
+    public function testSharedBirthdayTwoBirthdatesWithDifferentYearMonthAndDay(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertFalse($birthdays->sharedBirthday(["1997-08-04", "1963-11-23"]));
+    }
+
+    /**
+     * uuid: 0c17b220-cbb9-4bd7-872f-373044c7b406
+     */
+    #[TestDox('shared birthday -> multiple birthdates without shared birthday')]
+    public function testSharedBirthdayMultipleBirthdatesWithoutSharedBirthday(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertFalse(
+            $birthdays->sharedBirthday([
+                "1966-07-29",
+                "1977-02-12",
+                "2001-12-25",
+                "1980-11-10"
+            ])
+        );
+    }
+
+    /**
+     * uuid: 966d6b0b-5c0a-4b8c-bc2d-64939ada49f8
+     */
+    #[TestDox('shared birthday -> multiple birthdates with one shared birthday')]
+    public function testSharedBirthdayMultipleBirthdatesWithOneSharedBirthday(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertTrue(
+            $birthdays->sharedBirthday([
+                "1966-07-29",
+                "1977-02-12",
+                "2001-07-29",
+                "1980-11-10"
+            ])
+        );
+    }
+
+    /**
+     * uuid: b7937d28-403b-4500-acce-4d9fe3a9620d
+     */
+    #[TestDox('shared birthday -> multiple birthdates with more than one shared birthday')]
+    public function testSharedBirthdayMultipleBirthdatesWithMoreThanOneSharedBirthday(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertTrue(
+            $birthdays->sharedBirthday([
+                "1966-07-29",
+                "1977-02-12",
+                "2001-12-25",
+                "1980-07-29",
+                "2019-02-12"
+            ])
+        );
+    }
+
+    /**
+     * uuid: 70b38cea-d234-4697-b146-7d130cd4ee12
+     */
+    #[TestDox('random birthdates -> generate requested number of birthdates')]
+    public function testRandomBirthdatesGenerateRequestedNumberOfBirthdates(): void
+    {
+        $generate = rand(100, 1000);
+        $birthdays = new BafflingBirthdays();
+
+        $this->assertEquals($generate, count($birthdays->randomBirthdates($generate)));
+    }
+
+    /**
+     * uuid: d9d5b7d3-5fea-4752-b9c1-3fcd176d1b03
+     */
+    #[TestDox('random birthdates -> years are not leap years')]
+    public function testRandomBirthdatesYearsAreNotLeapYears(): void
+    {
+        $generate  = rand(100, 1000);
+        $birthdays = new BafflingBirthdays();
+        $result    = true;
+
+        foreach ($birthdays->randomBirthdates($generate) as $birthdate) {
+            $leapCheck = DateTime::createFromFormat('Y-m-d', $birthdate);
+            $result = $result && $leapCheck && $leapCheck->format('L') == 0;
+        }
+
+        $this->assertTrue($result);
+    }
+
+    /**
+     * uuid: d1074327-f68c-4c8a-b0ff-e3730d0f0521
+     */
+    #[TestDox('random birthdates -> months are random')]
+    public function testRandomBirthdatesMonthsAreRandom(): void
+    {
+        $generate    = rand(100, 1000);
+        $birthdays   = new BafflingBirthdays();
+        $months      = [];
+        $randomCheck = true;
+
+        foreach ($birthdays->randomBirthdates($generate) as $birthdate) {
+            $checkMonth = substr($birthdate, 5, -3);
+
+            $months[$checkMonth] = ($months[$checkMonth] ?? 0) + 1;
+        }
+
+        $randomCheck = count($months) === 12 ;
+
+        $this->assertTrue($randomCheck);
+    }
+
+    /**
+     * uuid: 7df706b3-c3f5-471d-9563-23a4d0577940
+     */
+    #[TestDox('random birthdates -> days are random')]
+    public function testRandomBirthdatesDaysAreRandom(): void
+    {
+        $generate    = rand(300, 1000);
+        $birthdays   = new BafflingBirthdays();
+        $days        = [];
+        $randomCheck = true;
+
+        foreach ($birthdays->randomBirthdates($generate) as $birthdate) {
+            $checkDay = substr($birthdate, -2);
+
+            $days[$checkDay] = ($days[$checkDay] ?? 0) + 1;
+        }
+
+        $randomCheck = count($days) === 31 ;
+
+        $this->assertTrue($randomCheck);
+    }
+
+    /**
+     * uuid: 89a462a4-4265-4912-9506-fb027913f221
+     */
+    #[TestDox('estimated probability of at least one shared birthday -> for one person')]
+    public function testEstimatedProbabilityOfAtLeastOneSharedBirthdayForOnePerson(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertEquals(
+            0.0,
+            $birthdays->estimatedProbabilityOfSharedBirthday(1)
+        );
+    }
+
+    /**
+     * uuid: ec31c787-0ebb-4548-970c-5dcb4eadfb5f
+     */
+    #[TestDox('estimated probability of at least one shared birthday -> among ten people')]
+    public function testEstimatedProbabilityOfAtLeastOneSharedBirthdayAmongTenPeople(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertEqualsWithDelta(
+            11.694818,
+            $birthdays->estimatedProbabilityOfSharedBirthday(10),
+            1
+        );
+    }
+
+    /**
+     * uuid: b548afac-a451-46a3-9bb0-cb1f60c48e2f
+     */
+    #[TestDox('estimated probability of at least one shared birthday -> among twenty-three people')]
+    public function testEstimatedProbabilityOfAtLeastOneSharedBirthdayAmongTwentyThreePeople(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertEqualsWithDelta(
+            50.729723,
+            $birthdays->estimatedProbabilityOfSharedBirthday(23),
+            2
+        );
+    }
+
+    /**
+     * uuid: b548afac-a451-46a3-9bb0-cb1f60c48e2f
+     */
+    #[TestDox('estimated probability of at least one shared birthday -> among seventy people')]
+    public function testEstimatedProbabilityOfAtLeastOneSharedBirthdayAmongSeventyPeople(): void
+    {
+        $birthdays = new BafflingBirthdays();
+        $this->assertEqualsWithDelta(
+            99.915958,
+            $birthdays->estimatedProbabilityOfSharedBirthday(70),
+            1
+        );
+    }
+}