GCE A-Level - Higher 1 (H1) · Mathematics (8865)

Probability: Practice Questions

5 multiple-choice questions marked as you go, and 5 written questions with worked solutions. All on Probability.

10 questions24 marksFree, no account

Question 1

1 mark

A fair coin is tossed and a fair six-sided die is rolled. Find the probability of obtaining a head on the coin and a prime number on the die.

Question 2

1 mark

Three different mathematics books and two different biology books are placed in a row on a shelf. Find the number of ways to arrange the books such that the three mathematics books are placed together.

Question 3

1 mark

A group of 9 people consists of 5 men and 4 women. A committee of 4 people is to be selected from this group. Find the number of ways the committee can be formed if it must contain at least one man and at least one woman.

Question 4

1 mark

For two events \( A \) and \( B \), it is given that \( P(A) = 0.4 \), \( P(B) = 0.5 \), and \( P(A \cap B) = 0.2 \). Find the value of \( P(A \cup B) \).

Question 5

1 mark

For two independent events \( A \) and \( B \), it is given that \( P(A) = 0.3 \) and \( P(A \cup B) = 0.58 \). Find the value of \( P(B) \).

Question 6

2 marks

Given that the probability of event \( A \) occurring is \( 0.35 \), find the probability that event \( A \) does not occur.

Write your answer out first, then check it against the worked solution.

Question 7

3 marks

In a class, \( 60\% \) of students like Math, \( 40\% \) like Science, and \( 20\% \) like both. Find the probability that a student likes Science given that they like Math.

Write your answer out first, then check it against the worked solution.

Question 8

6 marks

Find the number of ways to arrange the letters in the word CHAIR such that the vowels A and I are always separated.

Write your answer out first, then check it against the worked solution.

Question 9

3 marks

A group of 7 students, consisting of 4 boys and 3 girls, are to be seated in a row for a photograph. Find the number of ways the students can be arranged if the 3 girls must always sit together.

Write your answer out first, then check it against the worked solution.

Question 10

5 marks

In a class of 30 students, 18 play football, 15 play basketball, and 8 play both sports. A student is chosen at random from the class.
(a) Draw a Venn diagram to represent this information.
(b) Find the probability that the student plays only football.
(c) Given that the chosen student plays basketball, find the probability that he also plays football.

Write your answer out first, then check it against the worked solution.

* The content provided by thinka is generated by AI and may not always be accurate or up-to-date. Please use it as a supplementary resource and verify with official materials.

You've seen the model answer. Now get yours marked.

This page can show you how a good answer looks. It cannot tell you what your answer was missing. thinka marks your written work against the real mark scheme in about 15 seconds.

Get My Answers Marked Back to the notes

Want more questions like these? Get a fresh set on this topic, graded as you go.