A fair six-sided die is rolled once. What is the probability that the number shown is greater than 4?

\frac{1}{3}

Correct answerYour answer

\frac{1}{6}

Correct answerYour answer

\frac{1}{2}

Correct answerYour answer

\frac{2}{3}

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Numbers greater than 4: 5 and 6, which is 2 outcomes out of 6.
Probability $= \frac{2}{6} = \frac{1}{3}$ .

Worth noting

'Greater than 4' does not include 4; counting it gives $\frac{1}{2}$ . $\frac{2}{3}$ is P(4 or less), and $\frac{1}{6}$ counts only one of the two numbers.

Concept: Reading 'greater than' strictly
Typical timeTypical: 40 s
Your timeYours: —

The rule this testsCoins, dice and cards

Practise this chapter →

Ten questions from Counting and Basic Probability, at your own pace.

Practise this chapter →

Ten questions from Counting and Basic Probability, at your own pace.

Practise this chapter All 65 questions in Counting and Basic Probability Revise the notes for Counting and Basic Probability

A fair six-sided die is rolled once. What is the probability that the number shown is greater than 4?

Explanation