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Probability · Question 12 of 70

Question 12

EasyOriginal question

A die is thrown. A={1,2,3,4}A = \{1, 2, 3, 4\} and B={3,4,5}B = \{3, 4, 5\}. How many outcomes are in 'A but not B'?

Options for question 12

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 'A but not B' is A∩B′A \cap B': the outcomes of AA that are not in BB.

  2. Removing 3 and 4 from AA leaves {1,2}\{1, 2\}: 2 outcomes.

Worth noting

5 counts A∪BA \cup B, every outcome in either event.

Concept
The event A but not B
Typical time
60 s
Your time
—
The rule this testsThe algebra of events
Practise this chapter →

Ten questions from Probability, at your own pace.

Practise this chapter →

Ten questions from Probability, at your own pace.