[FONT=Verdana,Arial,Tahoma,Calibri,Geneva,sans-serif]https://en.wikipedia.org/wiki/Random_variable#Discrete_random_variable

Hi,

Prove or disprove:

The product of two continuous random variables (may be dependent) is always continuous.

I tried to find a counter example when one of the variables is conditioned by the other one.

I will be glad for any help.

Thank's in advance

https://en.wikipedia.org/wiki/Random_variable