Conditional probability: Venn diagrams

The Maths Habit Handout to print

Almost everyone who wins the lottery bought a ticket.
So if you buy a ticket, you will almost certainly win.
Is that right?

No: of everyone who buys a ticket, hardly anyone wins

Given that
Tells you which group to look at.

Given that the student does art

(a) Find the probability that a student studies both.
(b) Given that the student studies history, find the probability that they also study geography.

Given that the person has a brother, find the probability that they also have a sister. 615

15 have a brother6 also have a sister

Given that the person likes mango, find the probability that they also like kiwi. 720

Given that the person has a brother, find the probability that they also have a sister. 615

Given that the member plays tennis, find the probability that they also play squash. 418

30 students: 18 like rock, 14 like pop and 6 like both. Given that a student likes pop, find the probability that they also like rock.

Conditional probability: Venn diagrams worksheet, page 1

Conditional probability: Venn diagrams worksheet, page 2

Answer sheet

  1. 50 people: 28 like apples, 25 like bananas and 7 like neither. Given that a person likes apples, find the probability that they also like bananas.

    1028
  2. 12 people are in set A only and x people are in both A and B. Given that a person is in A, the probability that they are also in B is 14. Find x.

    4
  3. 45 members: 27 run, 16 row and 8 do both. Given that a member runs, find the probability that they do not row.

    1927

  1. Find P(music), given that the student studies art.

    615 = 25
    ξArtMusic96114
  2. Find P(art), given that the student studies music.

    617
  3. 40 people: 22 have a cat, 15 a dog, 6 both. Find P(no cat), given that they have a dog.

    915 = 35
Exit tickets to print