Arts College

Oscar and Felix are handicapping next year's NFL season. Oscar claims that the chance the Indianapolis Colts will win the Super Bowl is 30%, and the chance that the New England Patriots win is 20%. Felix says the chance that New Orleans will win the Super Bowl is 25%, the chance that the Dallas Cowboys will win is 20%, and the chance that the Chicago Bears will win is 10%. Whose probabilities are consistent?

Answers

Answer 1

Answer:

The probabilities of wins that are consistent is that of the New England patriots and Dallas cowboys.

Explanation:

Given the fact that both of the teams probability of a win was estimated to be 20% gives the two teams a consistent probability.

Another thing to note here is that the estimation or predictions were made by two different persons that is Oscar and Felix and both teams were given the same probability.

Answer 2
Final answer:

Probabilities presented by Oscar and Felix are not strictly 'consistent' as the sum of the chances for the teams they mentioned do not equal 100%, suggesting that the probabilities for all possible outcomes (all NFL teams) have not been considered.

Explanation:

The question revolves around the concept of probability and whether the individual probabilities provided by Oscar and Felix are consistent. For probabilities to be consistent, they must sum up to 1 or 100% when considering all possible outcomes of an event such as winning the Super Bowl. In Oscar's case, he claims a 30% chance for the Indianapolis Colts and a 20% chance for the New England Patriots, summing to a total of 50%. In Felix's case, he allocates a 25% chance to New Orleans, 20% to the Dallas Cowboys, and 10% to the Chicago Bears, which cumulatively adds up to 55%. Neither set of probabilities is strictly consistent as there are additional NFL teams not accounted for, and all teams' probabilities should sum to 100%. It's essential to note that in reality, these probabilities don't reflect actual odds but are merely claims by Oscar and Felix.

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