Tree diagrams and Venn diagrams
9th grade (Year 10 in England) · 16 questions · Common Core: HSS.CP.A.2, HSS.CP.B.7 · England: GCSE Foundation Probability, GCSE Higher Probability
Name
Date
Score/ 16
Question 1
In a class of 22, 14 play guitar, 6 play piano and 4 play both. One student is chosen at random. What is the probability they play both? Simplest form.
Answer(as a fraction)
Question 2
A bag has 3 red and 6 blue counters. Two are taken without replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 3
In a class of 33, 18 play guitar, 13 play piano and 3 play both. One student is chosen at random. What is the probability they play both? Simplest form.
Answer(as a fraction)
Question 4
A bag has 4 red and 7 blue counters. Two are taken without replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 5
In a class of 31, 21 play guitar, 13 play piano and 10 play both. One student is chosen at random. What is the probability they play both? Simplest form.
Answer(as a fraction)
Question 6
A bag has 6 red and 3 blue counters. Two are taken without replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 7
In a class of 23, 13 play guitar, 14 play piano and 7 play both. One student is chosen at random. What is the probability they play both? Simplest form.
Answer(as a fraction)
Question 8
A bag has 6 red and 2 blue counters. Two are taken with replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 9
In a class of 24, 10 play guitar, 17 play piano and 7 play both. One student is chosen at random. What is the probability they play guitar or piano (or both)? Simplest form.
Answer(as a fraction)
Question 10
A bag has 4 red and 6 blue counters. Two are taken with replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 11
In a class of 32, 21 play guitar, 13 play piano and 10 play both. One student is chosen at random. What is the probability they play both? Simplest form.
Answer(as a fraction)
Question 12
A bag has 6 red and 2 blue counters. Two are taken with replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 13
In a class of 32, 17 play guitar, 12 play piano and 6 play both. One student is chosen at random. What is the probability they play both? Simplest form.
Answer(as a fraction)
Question 14
A bag has 2 red and 4 blue counters. Two are taken without replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
Question 15
In a class of 22, 12 play guitar, 8 play piano and 5 play both. One student is chosen at random. What is the probability they play guitar or piano (or both)? Simplest form.
Answer(as a fraction)
Question 16
A bag has 5 red and 5 blue counters. Two are taken with replacement. What is the probability both are red? Give a fraction in simplest form.
Answer(as a fraction)
All done? Color in the animal! · Free from eurekami.com/math