Original practice questions, modeled on public College Board skill descriptors — not College Board material.
SP Score Prepped
Drill by score band: 400–500 500–600 600–700 700–800

Hard · Probability and Two-Way Tables

Hard Probability and Two-Way Tables Questions

This page lists the 7 hard-difficulty questions on Probability and Two-Way Tables, one row per record in the site's question bank (data/questions.json), with each question's score band.

By score band: 600-700 1 of 7, 700-800 6 of 7. The Probability and Two-Way Tables topic page carries all 25 questions on this topic; the other difficulty hubs are easy, medium and hard.

QuestionBand
A school surveyed students about a proposed schedule change. Of 20 boys and 48 girls who said yes, and 26 boys and 37 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?600-700Open
A school surveyed students about a proposed schedule change. 36 boys and 80 girls said yes; 68 boys and 35 girls said no. Given that a randomly chosen student said yes, what is the probability the student is a boy?700-800Open
A school surveyed students about a proposed schedule change. Of 55 boys and 30 girls who said yes, and 62 boys and 63 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?700-800Open
A school surveyed students about a proposed schedule change. 55 boys and 42 girls said yes; 48 boys and 24 girls said no. Given that a randomly chosen student said yes, what is the probability the student is a boy?700-800Open
A school surveyed students about a proposed schedule change. Of 31 boys and 28 girls who said yes, and 29 boys and 49 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?700-800Open
A school surveyed students about a proposed schedule change. 30 boys and 47 girls said yes; 66 boys and 45 girls said no. Given that a randomly chosen student said yes, what is the probability the student is a boy?700-800Open
A school surveyed students about a proposed schedule change. Of 23 boys and 31 girls who said yes, and 25 boys and 53 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?700-800Open