Medium · Probability and Two-Way Tables

Medium Probability and Two-Way Tables Questions

This page lists the 10 medium-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: 500-600 4 of 10, 600-700 6 of 10. The Probability and Two-Way Tables topic page carries all 25 questions on this topic; the other difficulty hubs are easy, medium and hard.

Question	Band
A school surveyed students about a proposed schedule change. Of 22 boys and 69 girls who said yes, and 69 boys and 62 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?	500-600	Open
A school surveyed students about a proposed schedule change. 41 boys and 38 girls said yes; 47 boys and 41 girls said no. Given that a randomly chosen student said yes, what is the probability the student is a boy?	500-600	Open
A school surveyed students about a proposed schedule change. Of 23 boys and 60 girls who said yes, and 62 boys and 76 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?	500-600	Open
A school surveyed students about a proposed schedule change. 53 boys and 79 girls said yes; 20 boys and 20 girls said no. Given that a randomly chosen student said yes, what is the probability the student is a boy?	500-600	Open
A school surveyed students about a proposed schedule change. Of 79 boys and 28 girls who said yes, and 41 boys and 65 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?	600-700	Open
A school surveyed students about a proposed schedule change. 70 boys and 20 girls said yes; 79 boys and 79 girls said no. Given that a randomly chosen student said yes, what is the probability the student is a boy?	600-700	Open
A school surveyed students about a proposed schedule change. Of 37 boys and 72 girls who said yes, and 47 boys and 31 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?	600-700	Open
A school surveyed students about a proposed schedule change. 80 boys and 38 girls said yes; 37 boys and 50 girls said no. Given that a randomly chosen student said yes, what is the probability the student is a boy?	600-700	Open
A school surveyed students about a proposed schedule change. Of 79 boys and 53 girls who said yes, and 26 boys and 64 girls who said no, a student is selected at random. What is the probability the student is a girl who said yes?	600-700	Open
A school surveyed students about a proposed schedule change. 74 boys and 60 girls said yes; 72 boys and 35 girls said no. Given that a randomly chosen student said yes, what is the probability the student is a boy?	600-700	Open