From Nathaniel Philbrick's Mayflower: A Story of Courage, Community and War:
"To their amazement and delight... (the Fortune) proved to be an English ship... with thirty-seven passengers aboard. In an instant, the size of the colony had almost doubled...
"Everyone aboard the Fortune was in good health... many of them single men... (w)ith the arrival of the Fortune, there would be a total of sixty-six men in the colony and just sixteen women."
Those are what I call good odds.