Probability question: two turtles are part of a turtle racing league. Turtle 1 has a 76% winrate. Turtle 2 has a 53% winrate.

[Jusgo]

two turtles are part of a turtle racing league. Turtle 1 has a 76% winrate. Turtle 2 has a 53% winrate. If both turtles face of in one shell to shell race what is the probability that turtle 2 wins the race.
(Only one turtle can win and they cannot draw)

 

[mmm4444bot]

Posting Guidelines (Summary)

Welcome to our tutoring boards! :) This page summarizes the main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to...

www.freemathhelp.com

[imath]\;[/imath]

 

[R.M.]

What is the probability that Turtle 1 loses?

 

[Steven G]

I don't like this problem.
Many years ago I played in a hockey league that had 4 teams (in my age group).
Team 1 never lost a game. (100% win rate)
Team 2 only lost to team 1 (no ties) (66 2/3% win rate)
Team 3 only lost to team 1 and team 2 (33 1/3% win rate)
and team 4 never won a game (0% win rate)
I'm assuming that each team played every other team the same number of times.

Now what is the probability that team 2 beats team 3? To me, this is not a clear problem.

It could be that team 1 is a professional hockey team in the NHL.
Team 2 could be a high school hockey team.
Team 3 could be a street hockey team with little experience.
Team 4 could be 80 year old people who never played hockey in their entire life.

OR

all 4 teams could be professional hockey players who can beat any of the other teams.

In my opinion, if team 1 (professional team) played team 3 (team with little experience), then team 1 will win.