Added "Tuesday" warm-up #8

Merged
Mark merged 1 commits from tuesday into main 2025-01-24 22:49:49 -08:00
2 changed files with 32 additions and 0 deletions

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#import "@local/handout:0.1.0": *
#show: handout.with(
title: [Warm-Up: Tuesday],
by: "Mark",
)
#problem()
Charlie has two children. \
One of them is a boy born on a Tuesday. \
What is the probability that Charlie has two boys?
#solution([
$13 / 27$, which notably isn't $1/2$.
#v(2mm)
Draw a $14 times 14$ square, highlight the possible cases, and you'll see it. \
#v(2mm)
Order is very important in this problem. \
If we knew that the _first_ child was a boy born on Tuesday,
the probability of two boys would be $1/2$. \
Also consider a smaller case where a week has two days.
])

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[metadata]
title = "Tuesday"
[publish]
handout = true
solutions = true