Both Pandora and Mr. White got bad consequences when curiosity over ruled them. They wanted to know more about the object they got. The curiousness overwhelmed them and they got something bad from it.
Curiosity led them to deal with mistakes they did in the future. They both are related to death. Mr. White's son Herbert died and Pandora released death into the world.
Something positive came out in Pandora's box. Hope came out of the box at the end. It gave them a reason why not to give up and they should hope.
Pandora hid the box, but Mr. White had it on the table. Pandora was smart to hide the box but still opened it. Mr. White had it lying on the table so he got curios and had the paw in close range so he used it way faster then Pandora.