How to Create a Random List of Child Pages

You can make all sorts of selections using wp_query. In your case try this:

$query = new WP_Query (array( 
  'post_parent' => 93    // get the children of page with ID 93
  'post_count' => 7      // get 7 child pages
  'orderby' => 'rand'    // order the results randomly
   ));

Once you have this, you can loop through $query in the usual way.