Common Core HSS.CP.A.1 worksheet

Question 1

Venn diagram of 26 people: apples only 6, bananas only 7, both 10, neither 3. 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 39 students, 17 play chess, 19 play the guitar and 12 do neither. How many do both?

Answer 

Question 3

Venn diagram of 44 people: apples only 11, bananas only 20, both 6, neither 7. 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 21 students, 11 play chess, 14 play the guitar and 4 do neither. How many do both?

Answer 

Question 5

Venn diagram of 39 people: apples only 17, bananas only 9, both 5, neither 8. 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 6

In a club of 37 students, 22 play chess, 14 play the guitar and 12 do neither. How many do both?

Answer 

Question 7

Venn diagram of 33 people: apples only 8, bananas only 9, both 13, neither 3. 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 8

In a club of 30 students, 11 play chess, 21 play the guitar and 6 do neither. How many do both?

Answer 

Question 9

Venn diagram of 43 people: apples only 9, bananas only 15, both 15, 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 51 students, 28 play chess, 29 play the guitar and 7 do neither. How many do both?

Answer 

Question 11

Venn diagram of 49 people: apples only 18, bananas only 9, both 12, neither 10. 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 12

In a club of 36 students, 18 play chess, 19 play the guitar and 5 do neither. How many do both?

Answer 

Question 13

Venn diagram of 22 people: apples only 4, bananas only 12, both 4, 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 14

In a club of 36 students, 14 play chess, 21 play the guitar and 10 do neither. How many do both?

Answer 

Question 15

Venn diagram of 34 people: apples only 11, bananas only 5, both 13, 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 16

In a club of 42 students, 23 play chess, 27 play the guitar and 5 do neither. How many do both?

Answer