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
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A

Recall / Warm-Up

These problems review skills you have already learned.

1.

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

2.

Simplify the fraction 48\frac{4}{8} to its lowest terms.

3.

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

B

Fluency Practice

1.

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

2.

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.

3.

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.

4.

A spinner has 8 equal sections numbered 1 to 8. The probability of landing on a multiple of 3 is 14\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.

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