The hand

Big three dragons needs pungs or kongs of all three dragons, plus any set and a pair. It is a limit hand in Hong Kong, a yakuman in riichi and an 88-point hand in MCR.

Red DragonRed DragonRed Dragon
Green DragonGreen DragonGreen Dragon
White DragonWhite DragonWhite Dragon
Four of CharactersFive of CharactersSix of Characters
Two of BambooTwo of Bamboo
Big three dragons.

Little three dragons

Little three dragons has two dragon pungs and a pair of the third. It is valuable but not a limit hand.

Red DragonRed DragonRed Dragon
Green DragonGreen DragonGreen Dragon
White DragonWhite Dragon
Three of DotsFour of DotsFive of Dots
Seven of CharactersSeven of CharactersSeven of Characters
Little three dragons: two dragon pungs and a pair of the third dragon.

The responsibility rule

Many rule sets make a player who discards the dragon that lets someone complete big three dragons (after two dragon pungs are already exposed) responsible for paying. Be careful with dragons late in the hand.

Going for it

With two dragon pairs or a pung and a pair early, the hand is worth considering. Without them, it is a long shot.