2012, Question 2 · 4 points

A charity spinner game

Fill in a probability distribution for the charity's net gain, find its expected value, find how many plays are needed to expect a target, and use a normal model for the total over many plays.

This exam had six free-response questions, each scored from 0 to 4. Its Question 6, the Investigative Task, is no longer part of the exam. The current exam has 4 free-response questions in 90 minutes. The skills these questions practice still count.

1 Read the question

The question is College Board's, from the 2012 exam. It starts on page 7 of the PDF. College Board no longer posts this exam, so it opens from the copy of College Board's PDF that the Internet Archive saved on September 15, 2025.

Open Question 2 (PDF, page 7)

2 Write your answer

Answer each part the way you would on the exam, in full sentences, with your work shown. Your writing saves as you type.

3 Score it

Score your answer against College Board's scoring guidelines, one point at a time. Give yourself a point only when your answer says what the guideline asks for.

Scoring guidelines (PDF, page 5) What the exam readers saw (Student Performance Q&A)

Question, scoring guidelines and Chief Reader report: College Board, from the Internet Archive. The title and summary are ours.