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Probability · Question 42 of 70

Question 42

EasyOriginal question

The letters C, A and T are arranged in a row at random. What is the probability that they spell CAT?

Options for question 42

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. There are 3!=63! = 6 equally likely arrangements.

  2. Only one of them is CAT: 16\frac{1}{6}.

Worth noting

127\frac{1}{27} allows a letter to be used more than once; each is used exactly once.

Concept
Probability of an arrangement
Typical time
60 s
Your time
—
The rule this testsEqually likely outcomes
Practise this chapter →

Ten questions from Probability, at your own pace.

Practise this chapter →

Ten questions from Probability, at your own pace.