diff --git a/education/statistics/random-variable.html b/education/statistics/random-variable.html
index d4241a5..59ea22b 100644
--- a/education/statistics/random-variable.html
+++ b/education/statistics/random-variable.html
@@ -2,7 +2,7 @@
 title: 隨機變數 (Random Variable)
 description: 
 published: true
-date: 2025-12-28T19:44:45.113Z
+date: 2025-12-28T19:45:28.875Z
 tags: 
 editor: ckeditor
 dateCreated: 2025-12-28T16:41:51.938Z
@@ -88,7 +88,7 @@ dateCreated: 2025-12-28T16:41:51.938Z
         </td>
       </tr>
       <tr>
-        <td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Marginal Probability</strong></span></td>
+        <td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Marginal Probability</strong></span><br><br>Obtained by summing or integrating the joint probability distribution over the values of the other random variable.</td>
         <td>
           <figure class="image"><img src="data:image/png;base64,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"></figure>
         </td>