Ruslana, I will explain the joke.
The joke is that nobody (not even a man left in charge of a baby) would do this, - put the baby in the sink with the washing up!
The baby is a metaphor. The picture was staged (posed) to suggest that men would rather do other things than look after a baby.
The baby is dirty and needs washing and so do the dishes which he has also neglected to do; so wondering what to do with the dirty baby he has put it in the sink to be dealt with later along with the washing up. The implication is that men are lazy and would rather watch TV with a glass of beer than either wash the baby or do the washing up.
The little duck is the really funny touch - he has even given the baby a toy to play with to keep it quiet until he decides to finish the job. ![Smile [:)]](/emoticons/emotion-1.gif)