A die is thrown. Which of these events is impossible?

A number less than 7Correct answerYour answerAn even prime numberCorrect answerYour answerA multiple of 3Correct answerYour answerA number greater than 6Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

An impossible event contains no outcome of the sample space $\{1, 2, 3, 4, 5, 6\}$ .
No face is greater than 6, so that event is $\varnothing$ . 'Less than 7' is every outcome, a sure event; 2 is an even prime; 3 and 6 are multiples of 3.

Worth noting

'A number less than 7' is the opposite case: it always happens, a sure event.

Concept: Impossible and sure events
Typical timeTypical: 60 s
Your timeYours: —

The rule this testsEvents and sample spaces

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Ten questions from Probability, at your own pace.

A die is thrown. Which of these events is impossible?

Explanation