Survivor has produced a whopping 45 seasons, with more in development. If you remember the buzz around season 1 but can’t believe it’s been 45 years, it hasn’t. They’ve cranked out two seasons per year for most of its run to feed their insatiable fanbase. Each season, the mega-successful reality show maroons an attractive cast of clashing personalities on a tropical island to compete for a million dollar prize.
The chance that the team who trails at halftime pulls a comeback and wins the game is 25%. Consider each half of the game separately. We’ll ignore all ties because we’re told that the game is not tied at halftime and we know that the game is not allowed to end in a tie. Let’s call the teams A and B and note who “wins” each half, ignoring the other half. There are four possibilities: AA, AB, BA, BB . Of course, it’s not only important who wins each half but also by how much.
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