Edexcel IGCSE Math A 6.3.D probabilities from Venn diagrams

Practise Venn-probability questions by reading each region correctly, using the total and applying any given condition stated.

Exam points

Find probabilities from Venn regions using the correct total or conditional total.
Use intersections and outside regions to handle both-and or neither events.
Complete missing Venn entries before calculating a requested probability.

[Maximum number: 2]

30 children were asked whether they have a cat ( C ) or a $\operatorname{dog}(D)$
Of the 30 children
5 have both a cat and a dog
13 have a dog
11 have only a cat

(a)

One of the children is picked at random.

Find the probability that this child

[ 2 ]

(i)

has a dog,

[ 1 ]

(ii)

does not have a dog and does not have a cat.

[ 1 ]

$\frac{6}{30}$

B1 oe, ft their Venn diagram.

All question bank results loaded

6.3.D Probabilities from a Venn diagram question 1

Question (a)

Question (i)

Question (ii)