Back to Analyze decisions and strategies using probability — Problem 4 · Task Set 34

Exercises: Analyze Decisions and Strategies Using Probability

Work through each section in order. For testing problems, build the two-way table over the stated population and compute the decision-relevant quantity by counting. Remember the difference between a test's accuracy P(positive | disease) and the decision-relevant P(disease | positive). For strategy problems, account for how a choice changes ALL of the probabilities, not just the one you want. Write explanation answers in complete sentences and name your assumptions.

Grade 12·20 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-md-b-7

Work through problems with immediate feedback

Fluency Practice

Compute the decision-relevant quantity in each problem.

A team trailing by one goal late can KEEP its goalie or PULL the goalie. Which statement correctly describes the effect of pulling the goalie?

It raises the team’s chance of scoring the tying goal AND raises the opponent’s chance of an empty-net goal.

It only raises the team’s chance of scoring; it has no effect on the opponent.

It only helps the opponent and never helps the trailing team.

It changes nothing about either team’s probabilities.