Venn diagrams and probability

The Maths Habit Handout to print

Where would you go?

Venn diagram
Overlapping circles that sort things into groups.

25 students: 14 have a dog, 9 have a cat and 4 have both.

50 people: 30 own a bike, 22 own a scooter and 6 own neither. Find the probability that a person chosen at random owns both.

32 people: 20 like apples, 15 like pears and 8 like both. Find the probability that a person chosen at random likes pears only. 732

45 students: 25 play football, 18 play netball and 6 play both. Find the probability that a student chosen at random plays neither. 845

32 people: 20 like apples, 15 like pears and 8 like both. Find the probability that a person chosen at random likes pears only. 732

28 people: 16 like rock, 11 like pop and 5 like both. Find the probability that a person chosen at random likes rock only. 1128

32 people: 20 like apples, 15 like pears and 8 like both. Find the probability that a person chosen at random likes pears only. 732

40 students: 23 have a phone, 19 have a tablet and 10 have both. Find the probability that a student chosen at random has a tablet only. 940

32 people: 20 like apples, 15 like pears and 8 like both. Find the probability that a person chosen at random likes pears only. 732

36 people: 20 have been to France, 14 have been to Spain and 7 have been to both. Find the probability that a person chosen at random has been to neither. 936 = 14

32 people: 20 like apples, 15 like pears and 8 like both. Find the probability that a person chosen at random likes pears only. 732

50 students: 26 play the guitar, 18 play the piano and 6 play both. Find the probability that a student chosen at random plays exactly one of these. 3250 = 1625

Venn diagrams and probability worksheet, page 1

Venn diagrams and probability worksheet, page 2

Answer sheet

  1. In a class of 30, 18 like football and 17 like rugby. Everyone likes at least one of them. How many like both?

    5

  2. 50 people are asked about tea and coffee. 10 like both and 8 like neither. Three times as many like tea only as like coffee only. How many like tea?

    34

  3. 60 people: 35 read news online, 28 read a newspaper and 12 do both. Find the probability that a person chosen at random does exactly one of these.

    3960 = 1320

  1. 30 students: 17 play chess, 12 draughts, 5 both. Fill in the Venn diagram.

    12, 5, 7 and 6 outside
    ξChessDraughts

  2. Find P(plays neither).

    630 = 15

  3. Find P(plays exactly one game).

    1930
Exit tickets to print