diff --git a/lectures/odu.md b/lectures/odu.md
index 0cfe26943..979f00b74 100644
--- a/lectures/odu.md
+++ b/lectures/odu.md
@@ -167,7 +167,11 @@ $$
 \mathbb{P}\{q = f \,|\, W = w\}
 = \frac{\mathbb{P}\{W = w \,|\, q = f\}\mathbb{P}\{q = f\}}
 {\mathbb{P}\{W = w\}}
-\quad \text{and} \quad
+$$
+
+and 
+
+$$
 \mathbb{P}\{W = w\} = \sum_{\omega \in \{f, g\}} \mathbb{P}\{W = w \,|\, q = \omega\} \mathbb{P}\{q = \omega\}
 $$
 
@@ -178,7 +182,11 @@ Letting
 
 $$
 q_{\pi}(w) := \pi f(w) + (1 - \pi) g(w)
-\quad \text{and} \quad
+$$
+
+and 
+
+$$
 \kappa(w, \pi) := \frac{\pi f(w)}{\pi f(w) + (1 - \pi) g(w)}
 $$