Answer to Question #177597 in Statistics and Probability for Leodegario Antonio

Question

Allie, Barry, and Cassie—the three children in the Smith family—have dishwashing responsibilities. Every day, their mother randomly chooses a child to wash dishes after dinner.

Develop a model that their mother could use to choose which child will wash dishes after dinner. You may want to consider spinners, number cubes, or coins.

Explain why your model can be used to predict which child will wash dishes after dinner.

Answer 1

For example, make a spinner with three equal-sized sections. Assign each child

one section and spin the spinner. The child whose section comes

up does the dishes.

Three events (Allie, Barry, or Cassie go to wash dishes) have same probability. In large number of experiments events with same probability will occure same number of times. So, in our model, if some child went to wash dishes more times than other children, then it is less probability that he comes to wash dishes next time. This can help to predict which child will wash dishes.