Step 1: Understand what water borne means.
A water borne disease spreads when a person drinks water or eats food contaminated with disease causing germs, usually through the faecal oral route. Typhoid, cholera and amoebiasis all spread this way.
Step 2: Check each option against this rule.
Typhoid is caused by Salmonella Typhi, which enters the body through contaminated water or food. Cholera is caused by Vibrio cholerae, again spread through unsafe water. Amoebiasis is caused by the parasite Entamoeba histolytica, which also spreads through contaminated water and food. All three fit the water borne pattern.
Step 3: Examine influenza separately.
Flu, or influenza, is a viral infection of the respiratory tract. It spreads from person to person through droplets released when an infected person coughs, sneezes or talks, not through drinking water. This is called droplet or airborne transmission, a completely different route from the other three diseases.
Final Answer:
Flu is not water-borne, since it spreads by respiratory droplets and not through contaminated water.
\[ \boxed{\text{Flu (Influenza)}} \]