Answer
2a). False
2b). True
Work Step by Step
2a). There wouldn’t need to be 2 of the same denomination since there is a possibility that a single card from each denomination is drawn making the statement false.
2b). By the Pigeonhole Principle, when drawing 13 cards, each from a different denomination from a 52-card deck, the 14th card drawn must match one of the 13 denominations already chosen, guaranteeing at least two cards with the same denomination, making this true.