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Binomial & Poisson Distributions · Question 12 of 68

Question 12

MediumOriginal question

A die is thrown 3 times. What is the probability of at least one six?

Options for question 12

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 'At least one' is the complement of 'none'. The chance of no six is (56)3=125216\left(\frac{5}{6}\right)^{3} = \frac{125}{216}.

  2. So the chance of at least one six is 1−125216=912161 - \frac{125}{216} = \frac{91}{216}.

Worth noting

12\frac{1}{2} adds 16\frac{1}{6} three times, counting two or three sixes more than once.

Concept
At least one success
Typical time
90 s
Your time
—
The rule this testsBinomial probabilities
Practise this chapter →

Ten questions from Binomial & Poisson Distributions, at your own pace.

Practise this chapter →

Ten questions from Binomial & Poisson Distributions, at your own pace.