# Loser Keeps Bieber. We Stood No Chance :(

**Discrete Mathematics**Level 3

With one period (20 minutes) left in the game Team Canada is leading \(1\) to \(0.\) If Team Canada continues to play their usual attacking style, they have a \(5\%\) chance of scoring a goal and a \(5\%\) chance of letting in a goal in every minute of play. If they switch to a defensive style, their chance of letting in a goal drops to \(4\%\) per minute, but they would have virtually no chance of scoring. Suppose that if the regular play ends in a draw, there is a \(50\%\) chance of either team winning in overtime. Which of the following is the best approximation of the optimal general strategy for **Team Canada**?

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