Tree diagrams and Venn diagrams

Question 1

In a class of 24, 11 play guitar, 12 play piano and 3 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 2

A bag has 2 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)

Question 3

In a class of 39, 21 play guitar, 16 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 4

A bag has 4 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 5

In a class of 31, 15 play guitar, 16 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 7 red and 5 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 26, 17 play guitar, 15 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 8

A bag has 3 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 9

In a class of 21, 8 play guitar, 13 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 10

A bag has 7 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)

Question 11

In a class of 23, 7 play guitar, 9 play piano and 3 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 12

A bag has 4 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 21, 14 play guitar, 5 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 14

A bag has 3 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 21, 7 play guitar, 15 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 16

A bag has 4 red and 4 blue counters. Two are taken with replacement. What is the probability both are red? Give a fraction in simplest form.

Answer (as a fraction)