Complete and use a two-set Venn diagram

Question 1

Venn diagram of 30 people: apples only 10, bananas only 13, both 2, neither 5. A person is chosen at random. Find the probability they like both apples and bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 2

In a club of 33 students, 10 play chess, 21 play the guitar and 7 do neither. How many do both?

Answer 

Question 3

Venn diagram of 31 people: apples only 20, bananas only 5, both 5, neither 1. A person is chosen at random. Find the probability they like both apples and bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 4

In a club of 28 students, 10 play chess, 16 play the guitar and 4 do neither. How many do both?

Answer 

Question 5

Venn diagram of 38 people: apples only 18, bananas only 7, both 9, neither 4. 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 45 students, 17 play chess, 25 play the guitar and 8 do neither. How many do both?

Answer 

Question 7

Venn diagram of 38 people: apples only 20, bananas only 3, both 12, 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 8

In a club of 53 students, 30 play chess, 28 play the guitar and 9 do neither. How many do both?

Answer 

Question 9

Venn diagram of 36 people: apples only 19, bananas only 7, both 6, neither 4. 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 10

In a club of 41 students, 29 play chess, 14 play the guitar and 9 do neither. How many do both?

Answer 

Question 11

Venn diagram of 45 people: apples only 15, bananas only 17, both 6, neither 7. 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 27 students, 17 play chess, 8 play the guitar and 7 do neither. How many do both?

Answer 

Question 13

Venn diagram of 43 people: apples only 19, bananas only 5, both 7, neither 12. A person is chosen at random. Find the probability they like both apples and bananas. Give a fraction in its simplest form.

Answer (as a fraction)

Question 14

In a club of 27 students, 19 play chess, 17 play the guitar and 1 do neither. How many do both?

Answer 

Question 15

Venn diagram of 22 people: apples only 5, bananas only 9, both 5, 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 33 students, 13 play chess, 24 play the guitar and 4 do neither. How many do both?

Answer