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Update Overtime.ipynb

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Peter Norvig 2024-10-04 10:39:44 -07:00 committed by GitHub
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ipynb/Overtime.ipynb
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@ -25,7 +25,7 @@
"\n",
"The 2024 Super Bowl went into overtime, and there was some criticism of San Francisco 49ers coach Kyle Shanahan, who, after winning the coin toss, elected to possess the ball first rather than second. As it turned out the 49ers scored a field goal and then the Chiefs scored a touchdown to win. If the 49ers had taken the ball second, and they had known that the Chiefs scored a touchdown, they could have gone for their own touchdown rather than the field goal, and perhaps tied or won the game. The first question is: Is it better to possess the ball first (team **A**) or second (team **B**)? There are two main points to consider:\n",
"\n",
"- **B** has the advantage of knowing **B**'s score on their first possession.\n",
"- **B** has the advantage of knowing **A**'s score on their first possession.\n",
"- **A** has the advantage that if the score is tied after each team has their first possession, **A** gets the ball next (third), and next score wins.\n",
"\n",
"The second question is: if a team scores a touchdown on their first possession, what should their strategy be for the extra point(s)? It sems like **A** should go for 1, because if they go for 2 and miss, then it is too easy for **B** to make a 1-point conversion and win. On the other hand, it seems that **B** should go for 2, because if they tie the score at 7-7, then it is too easy for **A** to score next and win.\n",