Fix page dimensions

Reviewed-on: #6
Co-authored-by: Mark <mark@betalupi.com>
Co-committed-by: Mark <mark@betalupi.com>

lib/typst/local/handout/0.1.0/lib.typ

@@ -29,8 +29,8 @@
 ) = {
   set page(
     margin: 20mm,
-    width: 8in,
-    height: 11.5in,
+    width: 8.5in,
+    height: 11in,
     footer: align(
       center,
       context counter(page).display(),
@@ -38,30 +38,28 @@
     footer-descent: 5mm,
   )
 
-
-  set par(leading: 0.55em, first-line-indent: 0mm, justify: true)
+  //
+  // Text style
   set text(font: "New Computer Modern")
-  set par(spacing: 0.5em)
+  set par(
+    leading: 0.55em,
+    first-line-indent: 0mm,
+    justify: true,
+    spacing: 0.5em,
+  )
+
+  //
+  // List style
   show list: set block(spacing: 0.5em, below: 1em)
-  set heading(numbering: (..nums) => nums.pos().at(0))
-
-  show ref: it => {
-    import "object.typ": ref_obj
-
-    // Custom impl for object references
-    let x = ref_obj(it)
-    if (x != none) { return x }
-
-    // Use default `ref` implementation otherwise
-    return it
-  }
-
   set list(
     tight: false,
     indent: 5mm,
     spacing: 3mm,
   )
 
+  //
+  // Heading style
+  set heading(numbering: (..nums) => nums.pos().at(0))
   show heading.where(level: 1): it => {
     set align(center)
     set text(weight: "bold")
@@ -70,6 +68,18 @@
     ]
   }
 
+  //
+  // Hack for custom references
+  show ref: it => {
+    import "object.typ": ref_obj
+
+    let x = ref_obj(it) // Custom impl for object references
+    if (x != none) { return x }
+
+    return it // Use default `ref` implementation otherwise
+  }
+
+
   //
   // Begin content
   //

src/Warm-Ups/Somewhat Random Numbers/main.typ

@@ -0,0 +1,76 @@
+#import "@local/handout:0.1.0": *
+
+#show: handout.with(
+  title: [Somewhat Random Numbers],
+  by: "Mark",
+  subtitle: "Based on a handout by Bryant Mathews",
+)
+
+#problem()
+Alice generates 100 random numbers uniformly from $[0,1]$. \
+Bob generates 101 random numbers from $[0, 1]$, but deletes the lowest result.
+
+#v(2mm)
+
+Say we have both of the resulting arrays, but do not know who generated each one. \
+We would like to guess which of the two was generated by Bob. \
+What is the optimal strategy, and what is its probability of guessing correctly?
+
+
+#solution([
+  Looking at the mean seems like a good idea, but there's a better way: \
+  Assign the array with the smaller _minimum_ to Alice.
+
+  #v(3mm)
+
+  To compute the probability, generate 201 numbers. \
+  Assign the first 100 to Alice and the rest to Bob. \
+  Look at the lowest two numbers (of these 201, *before* Bob drops his lowest).
+
+  #v(8mm)
+
+  We'll use the following notation: \
+  `AB` means the lowest was owned by Alice, and the second-lowest, by Bob.
+
+  #v(2mm)
+
+  Probabilities are as follows: \
+  - `AA`: $100\/201 times 99\/200 approx 0.246$
+  - `AB`: $100\/201 times 101\/200 approx 0.251$
+  - `BA`: $101\/201 times 100\/200 approx 0.251$ // spell:disable-line
+  - `BB`: $101\/201 times 100\/200 approx 0.251$
+
+  #v(4mm)
+  Now, Bob drops his lowest number. \
+  We'll cross out the number he drops and box the new lowest number (i.e, the one we observe):
+  - #{
+      (
+        box(`A`, stroke: ored, inset: 1pt)
+          + box(`A`, inset: 1pt)
+          + box([: $approx 0.246$], inset: (top: 1pt, bottom: 1pt))
+      )
+    }
+  - #{
+      (
+        box(`A`, stroke: ored, inset: 1pt)
+          + box(strike(`B`), inset: 1pt)
+          + box([: $approx 0.251$], inset: (top: 1pt, bottom: 1pt))
+      )
+    }
+  - #{
+      (
+        box(strike(`B`), inset: 1pt)
+          + box(`A`, stroke: ored, inset: 1pt)
+          + box([: $approx 0.251$], inset: (top: 1pt, bottom: 1pt))
+      )
+    }
+  - #{
+      (
+        box(strike(`B`), inset: 1pt)
+          + box(`B`, stroke: ored, inset: 1pt)
+          + box([: $approx 0.251$], inset: (top: 1pt, bottom: 1pt))
+      )
+    }
+  #v(8mm)
+  Alice has the smallest number in 3 of 4 cases, which have a total probability of $approx 0.749$.
+])

src/Warm-Ups/Somewhat Random Numbers/meta.toml

@@ -0,0 +1,6 @@
+[metadata]
+title = "Somewhat Random Numbers"
+
+[publish]
+handout = true
+solutions = true