Question

State whether the events are independent or dependent.

Choosing the color and size of a pair of shoes.

Short answer

Choosing the color and size of a pair of shoes areindependent events.

Step-by-step solution

Step 1. Given Information.

Given it is to be determined whether choosing the color and size of a pair of shoes are independent or dependent events.

Step 2. Calculation.

When the outcome of one event does affect the outcome of another event, then the events are dependent events.

When the outcome of one event does not affect the outcome of another event, then the events are independent events.

Here the choice of color and size does not depend on each other i.e. a person can choose any color and then any size and choosing one does not affect other.

Hence, the events are independent events.

Step 3. Conclusion.

Choosing the color and size of a pair of shoes are independent events.