Venn diagrams: set notation

The Maths Habit Handout to print

  1. 40 people: 23 have a bike,
    14 have a skateboard and 5 have both.
    Find P(bike only).

    920

  2. 30 students: 16 study French, 12 study Spanish and 4 study both. Find P(neither).

    15

  3. 50 people: 31 drink tea, 26 drink coffee and 9 drink neither. Find P(both).

    825

∩   ∪   ′
Each symbol picks out part of a Venn diagram.
What could each one mean?

∩ both
∪ either or both
′ not

A ∩ B
In both sets: the overlap.
A ∪ B
In A or in B or in both.
A′
Not in A: everything outside it.

How many are in A ∩ B?

AB4268 2

How many are in A ∪ B?

AB4268 12

How many are in A′?

AB4268 14

Find P(A ∩ B).

AB9268
P(A ∩ B) =225in the shaded regionin the whole diagram
Answer225

Find P(A ∪ B).

AB64911
P(A ∪ B) =1930in the shaded regionin the whole diagram
Answer1930

Find P(A ∩ B).

AB9268
P(A ∩ B) =225in the shaded regionin the whole diagram
Answer225

Find P(A′).

AB74821
P(A′) =2940in the shaded regionin the whole diagram
Answer2940

Find P(A ∩ B).

AB9268
P(A ∩ B) =225in the shaded regionin the whole diagram
Answer225

Find P(A ∪ B).

AB114911
P(A ∪ B) =2435in the shaded regionin the whole diagram
Answer2435

Find P(A ∩ B).

AB9268
P(A ∩ B) =225in the shaded regionin the whole diagram
Answer225

Find P(B′).

AB95810
P(B′) =1932in the shaded regionin the whole diagram
Answer1932

Find P(A ∩ B).

AB9268
P(A ∩ B) =225in the shaded regionin the whole diagram
Answer225

Find P(A ∩ B).

AB107133
P(A ∩ B) =733in the shaded regionin the whole diagram
Answer733

Venn diagrams: set notation worksheet, page 1

Answer sheet

  1. ξ = whole numbers from 1 to 10. A = even numbers. B = multiples of 3. Find P(A ∪ B).

    710

  2. P(A) = 0.5, P(B) = 0.4 and P(A ∩ B) = 0.2. Find P(A ∪ B).

    0.7

  1. Find P(A ∩ B).

    324 = 18
    ξAB7359

  2. Use the diagram above. Find P(A ∪ B).

    1524 = 58

  3. Use the diagram above. Find P(A′).

    1424 = 712

  4. P(A) = 0.6, P(B) = 0.3 and P(A ∩ B) = 0.1. Find P(A ∪ B).

    0.8
Exit tickets to print