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Which of the following sets of events are considered independent events?

I. Weightlifting and getting stronger.

II. Spinning a spinner twice while playing a board game.

III. Birth weight of a baby and the length of the baby.

Question 12 options:

I and II only

II only

III only

I and III only

I only

1 answer

To determine which sets of events are considered independent, we need to understand what independent events are. Two events are independent if the occurrence of one does not affect the occurrence of the other.

Let's analyze each option:

I. Weightlifting and getting stronger.

  • These events are not independent. Weightlifting is likely to affect an individual's strength, so they are dependent events.

II. Spinning a spinner twice while playing a board game.

  • These events are independent. The result of the first spin does not affect the result of the second spin.

III. Birth weight of a baby and the length of the baby.

  • These events are also not independent. Generally, there is a correlation between birth weight and length – heavier babies tend to be longer, indicating a dependency.

Based on this analysis:

  • I is not independent.
  • II is independent.
  • III is not independent.

Therefore, the correct answer is:

II only.