Complete and use a two-set Venn diagram

Question 1

Venn diagram of 42 people: apples only 10, bananas only 17, both 14, neither 1. A person is chosen at random. Find the probability they like apples or bananas (or both). Give a fraction in its simplest form.

Answer (as a fraction)

Question 2

In a club of 29 students, 11 play chess, 14 play the guitar and 12 do neither. How many do both?

Answer 

Question 3

Venn diagram of 33 people: apples only 11, bananas only 14, both 3, neither 5. A person is chosen at random. Find the probability they like apples but not bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 4

In a club of 51 students, 22 play chess, 31 play the guitar and 11 do neither. How many do both?

Answer 

Question 5

Venn diagram of 33 people: apples only 10, bananas only 19, both 2, neither 2. A person is chosen at random. Find the probability they like apples but not bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 6

In a club of 32 students, 8 play chess, 16 play the guitar and 11 do neither. How many do both?

Answer 

Question 7

Venn diagram of 28 people: apples only 12, bananas only 8, both 7, neither 1. A person is chosen at random. Find the probability they like apples or bananas (or both). Give a fraction in its simplest form.

Answer (as a fraction)

Question 8

In a club of 51 students, 19 play chess, 24 play the guitar and 12 do neither. How many do both?

Answer 

Question 9

Venn diagram of 47 people: apples only 18, bananas only 3, both 14, neither 12. A person is chosen at random. Find the probability they like apples but not bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 10

In a club of 26 students, 21 play chess, 14 play the guitar and 2 do neither. How many do both?

Answer 

Question 11

Venn diagram of 30 people: apples only 7, bananas only 12, both 2, neither 9. A person is chosen at random. Find the probability they like apples but not bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 12

In a club of 36 students, 12 play chess, 26 play the guitar and 6 do neither. How many do both?

Answer 

Question 13

Venn diagram of 23 people: apples only 5, bananas only 14, both 3, neither 1. A person is chosen at random. Find the probability they like apples but not bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 14

In a club of 32 students, 6 play chess, 20 play the guitar and 8 do neither. How many do both?

Answer 

Question 15

Venn diagram of 34 people: apples only 13, bananas only 11, both 7, neither 3. A person is chosen at random. Find the probability they like apples but not bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 16

In a club of 55 students, 30 play chess, 28 play the guitar and 11 do neither. How many do both?

Answer