Women, as expected, took care of children. And they were famous as spinners, weavers and dyers, as the previous posts demonstrate.
But what did the men do?
Well, farming was certainly a profession. Even many of the people who lived in Knossos owned farms. Besides goats and sheep and cattle, the farms grew grains and vegetables as well as the very important olives and grapes.
There were other professions, such as gold smith, jewelry maker, mosaic maker, but the primary job for men involved the sea. Minoan Crete had the best navy in the ancient world at this time. It was so superior that an Egyptian Pharaoh (one of the Ramses) sent a request to Crete for help pushing back the Sea Peoples. These people were sailing from Anatolia and attacking the rich cities of Egypt.
Besides the Navy, the men roamed far and wide, exploring the Mediterranean Sea and trading. (This was certainly a factor in the importance of women. The wives provided the woven goods for trade. As well, the women left behind ran the businesses while their husbands and other male family members were gone.)
Finally, fishing was an important part of this culture. The people who lived on the island ate from the sea. The mosaics show octopi, dolphins, and a variety of sea creatures. Fish bones, sheep bones and beef bones have been found during archaeological excavations.