The words taro, tarot sound the same but have different meanings and spellings. Why do taro, tarot sound the same even though they are completely different words?
The answer is simple: taro, tarot are homophones of the English language.
A widely cultivated tropical Asian plant (Colocasia esculenta) having broad peltate leaves and a large starchy edible tuber.
The tuber of this plant.
A similar plant of the genus Xanthosoma.
The large starchy tuber of this plant. Also called cocoyam.
Any of a set of usually 78 playing cards including 22 cards depicting vices, virtues, and elemental forces, used in fortunetelling.
Any of these 22 pictoral cards used as trump in tarok.
Tarok.
Definitions from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.
If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").