Which of the following is the better hand:

A   B  
       

Hand A is the better hand. Both hands only have a high card. Both hands' highest card is the Ace. It is therefore the second highest card which is the deciding factor. Hand A has a King as the second highest card, which is better than hand B's Queen.

Which of the following is the better hand:

A   B  
       

Hand B is the better hand. Hand B has a pair of 3's whereas hand A only has a high card Ace.