Question

Suppose that you selected an adult male at random from the United States.

Which of the following probabilities is larger, P(can bench press over 200 pounds
plays in the NFL) or P(plays in the NFL can bench press over 200 pounds) Explain
your reasoning.

Answer 1

The probability of selecting an adult male who can bench press over 200 pounds and plays in the NFL is larger than the probability of selecting an adult male who plays in the NFL and can bench press over 200 pounds.

Step-by-step explanation:

The probability of selecting an adult male who can bench press over 200 pounds and plays in the NFL is larger than the probability of selecting an adult male who plays in the NFL and can bench press over 200 pounds. This is because the first probability considers a larger population - adult males who can bench press over 200 pounds and are also NFL players - while the second probability considers a smaller population - adult males who are NFL players and can bench press over 200 pounds.

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