From 982131288c25e2aadaf2e68c610be39d6639af33 Mon Sep 17 00:00:00 2001
From: Suraj Rampure
board of}) &= P(\text{board}) \cdot P(\text{the | board}) \cdot
P(\text{college | the}) \cdot P(\text{board | college}) \cdot P(\text{of
| board}) \\
-&= \frac{2}{8} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot 1 \cdot
-\frac{1}{2} \\ &= \frac{1}{32}\end{align*}
Sentence 4:
\begin{align*} P(\text{the college board of college}) &= P(\text{the}) \cdot P(\text{college | the}) \cdot diff --git a/problems/wi23-final/wi23-final-q06.md b/problems/wi23-final/wi23-final-q06.md index 5389315..aa3aa56 100644 --- a/problems/wi23-final/wi23-final-q06.md +++ b/problems/wi23-final/wi23-final-q06.md @@ -86,7 +86,7 @@ $$\begin{align*} P(\text{the board the board the}) &= P(\text{the}) \cdot P(\tex Sentence 3: $$\begin{align*} P(\text{board the college board of}) &= P(\text{board}) \cdot P(\text{the | board}) \cdot P(\text{college | the}) \cdot P(\text{board | college}) \cdot P(\text{of | board}) \\ -&= \frac{2}{8} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot 1 \cdot \frac{1}{2} \\ &= \frac{1}{32}\end{align*}$$ +&= \frac{2}{8} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \\ &= \frac{1}{64}\end{align*}$$ Sentence 4: