Thank you for your question! Yes, one of your plants (the lower photo) is 'dumb cane' or dieffenbachia. The plants are toxic if ingested--so if they are not eaten it should be fine. They are a very popular houseplant. The plant with the crinkly leaves is peperomia. The third plant I am having trouble identifying. It looks as though the leaves are growing from a stalk, with opposite leaf arrangement. I will keep looking but I wanted to respond to your question about the safety of the dieffenbachia as soon as possible. You could also try calling the florist who made the arrangement.