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Football Scoring

In professional football, a team can score points by a

Type of Scoring Points Earned
Touchdown 6*
Field Goal 3
Safety 2

*If a touchdown is scored, then the team can earn 1 extra point for a successful kick OR 2 extra points for running/passing. If either attempt fail, the team earns 0 extra points. If a team scores 24 points, what is the probability that they had at least 3 touchdowns?

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