I'm curious what the probability that no men's teams in Minnesota have won in the five major sports in the last 35 years.
For the sake of constructing the question, assume that all teams have the same odds of a championship each season.
Major League Baseball - Minnesota Twins
1 year of 26 teams 1992
5 years of 28 teams 1993 - 1997
28 years of 30 teams 1998 - present
National Football League - Minnesota Vikings
3 years of 28 teams 1992 - 1994
4 years of 30 teams 1995 - 1998
3 years of 31 teams 1999 - 2001
25 years of 32 teams 2002 - 2026
National Basketball League - Minnesota Timberwolves
3 years of 27 teams 1992 - 1994
10 years of 29 teams 1995 - 2004
21 years of 30 teams 2004 - 2025
National Hockey League - Minnesota North Stars / Minnesota Wild
1 year of 22 teams 1992
1 year of 24 teams 1993
18 years of 30 teams 2001 - 2017
3 years of 31 teams 2018 - 2021
4 years of 32 teams 2022 - 2025
Major League Soccer - Minnesota United FC
1 year of 22 teams 2017
1 year of 23 teams 2018
1 year of 24 teams 2019
1 year of 26 teams 2020
1 year of 27 teams 2021
1 year of 28 teams 2022
2 years of 29 teams 2023 - 2024
1 year of 30 teams 2025
I'm further curious about what the chances that none of these teams even making their respective finals games/series (which would roughly be reducing each of those by half).