Back to Exercise: Probability Using Sets and Venn Diagrams

Exercises: Probability Using Sets and Venn Diagrams

Work through each section in order. Express every probability as a fraction in simplest form unless the problem says otherwise. Show your working where indicated.

Grade 7·22 problems·~30 min·Uganda NCDC Primary 7 Mathematics·lesson·sets-04

Printable layout

Recall / Warm-Up

These problems review skills you have already learned.

A bag holds 3 red counters and 5 blue counters. One counter is picked at random. What is the probability that it is red?

$\frac{3}{8}$

$\frac{3}{5}$

$\frac{5}{8}$

$\frac{8}{3}$

Simplify the fraction $\frac{4}{8}$ to its lowest terms.

The universal set is $E = \{1, 2, 3, 4, 5, 6\}$ and $A = \{2, 4, 6\}$ . Which set is the complement $A'$ ?

$\{1, 3, 5\}$

$\{2, 4, 6\}$

$\{1, 2, 3, 4, 5, 6\}$

$\{ \}$

Fluency Practice

A spinner has 8 equal sections numbered 1 to 8. What is the probability of landing on a prime number?

$\frac{1}{2}$

$\frac{3}{8}$

$\frac{5}{8}$

$\frac{8}{4}$

A fair die numbered 1 to 6 is rolled. Find the probability of rolling a number greater than 4. Express your answer as a fraction in simplest form.

A box contains 10 identical cards numbered 1 to 10. One card is drawn at random. Find the probability that the number drawn is a multiple of 3. Express your answer as a fraction in simplest form.

A spinner has 8 equal sections numbered 1 to 8. The probability of landing on a multiple of 3 is $\frac{1}{4}$ . Use the complement rule to find the probability of NOT landing on a multiple of 3. Express your answer as a fraction in simplest form.

You're viewing 2 of 6 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account